Fault-tolerant quantum computation by anyons

1997/07/09 by Alexei Kitaev, A.Yu. Kitaev, A. Yu. Kitaev · 3 voices · 7,400 citations
Computer Science · Physics and Astronomy · #Algorithm #Anyon #Computation #Computer science #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum computer #Quantum mechanics #Theoretical physics #Topological quantum computer #Unitary state #cond-mat.mes-hall #hep-th #quant-ph

paper · pdf · doi:10.1016/s0003-4916(02)00018-0

published in Annals of Physics 303(1), 2-30 (Elsevier BV) · 27 pages, Latex2e, uses amssymb.sty, 13 Postscript figures

arxiv created 1997/07/09 · arxiv published 1997/07/09 · openalex publication_date 2003/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A two-dimensional quantum system with anyonic excitations can be considered as a quantum computer. Unitary transformations can be performed by moving the excitations around each other. Measurements can be performed by joining excitations in pairs and observing the result of fusion. Such computation is fault-tolerant by its physical nature.

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• Emergent Symmetry and Phase Transitions on the Domain Wall of ℤ₂ Topological Orders
• Rise and fall of nonstabilizerness via random measurements
• Digital Quantum Simulation of the Kitaev Quantum Spin Liquid
• Field-controlled conical intersections in the vortex lattice of quasi 2D pure strongly type-II superconductors at high magnetic fields
• Fibre bundle framework for unitary quantum fault tolerance
• On the Power of Reusable Magic States
• Generalized topological state-sum constructions and their universality
• Quantum Locally Testable Codes
• Extracting topological orders of generalized Pauli stabilizer codes in two dimensions
• Topological phases and Edge states in an exactly solvable Gamma matrix model
• The Effect of Pearl Vortices on the Shape and Position of Néel-Type Skyrmions in Superconductor-Chiral Ferromagnet Heterostructures
• Construction of Hyperbolic Signal Sets from the Uniformization of Hyperelliptic Curves
• Distinct Lifetimes for X and Z Loop Measurements in a Majorana Tetron Device
• Simulated non-Markovian Noise Resilience of Silicon-Based Spin Qubits with Surface Code Error Correction
• Real-Time Dynamics in a (2+1)-D Gauge Theory: The Stringy Nature on a Superconducting Quantum Simulator
• Gapped Parent Hamiltonians for the Strongly Deformed Toric Code
• Quantum Computers: Noise Propagation and Adversarial Noise Models
• Models for gapped boundaries and domain walls
• Hypermap-Homology Quantum Codes (Ph.D. thesis)
• Robustness of the flux-free sector of the Kitaev honeycomb against environment
• Low-depth quantum error correction via three-qubit gates in Rydberg atom arrays
• Chiral superconductivity in a semiconducting wire induced by helical magnetic order
• Introduction to Quantum Error Correction with Stabilizer Codes
• Unified Framework for Quantum Code Embedding
• Fault-tolerant quantum computation for local non-Markovian noise
• Ground state entanglement and geometric entropy in the Kitaev model
• Simulation of Anyons Using Symmetric Tensor Network Algorithms
• Optimal encoding of two dissipative interacting qubits
• Approaches to Quantum Error Correction
• Quantum Spin Liquid State of a Dual-Species Atomic Array on Kagome Lattice
• Disorder-protected topological entropy after a quantum quench
• Relaxing Hardware Requirements for Surface Code Circuits using Time-dynamics
• Quantum codes on high-genus surfaces
• On quantum computation, anyons, and categories
• Catalytic Quantum Error Correction: Theory, Efficient Catalyst Preparation, and Numerical Benchmarks
• Single-shot parity readout of a minimal Kitaev chain
• Defects Potentials for Two-Dimensional Topological Materials
• Ground-state degeneracy of correlated insulators with edges
• Quantum dimer model withZ2liquid ground state: Interpolation between cylinder and disk topologies and toy model for a topological quantum bit
• Defects in Kitaev models and bicomodule algebras
• Two-Dimensional Materials-Based Josephson Junctions
• Decoherence, Control, and Symmetry in Quantum Computers
• Realization of a Laughlin quasiparticle interferometer: Observation of fractional statistics
• Verification of Quantum Circuits through Barrier Certificates using a Scenario Approach
• Realization of a Quantum Error Detection Code with a Dynamically Reassigned Ancillary Qubit
• Universal quantum computation in the surface code using non-Abelian islands
• Holography for bulk-boundary local topological order
• Efficient Berry Phase Calculation via Adaptive Variational Quantum Computing Approach
• Quantum Error Correction: An Introductory Guide
• Tunable anyonic permeability across ℤ₂ spin liquid junctions
• Comparison of spin-qubit architectures for quantum error-correcting codes
• Generalized Code Distance through Rotated Logical States in Quantum Error Correction
• Topologically protected quantum bits using Josephson junction arrays
• Abelian multi-cycle codes for single-shot error correction
• Mapping the Evolution of Research Contributions using KnoVo
• Symmetry in Multi-Qubit Correlated Noise Errors Enhances Surface Code Thresholds
• A Topologically Fault-Tolerant Quantum Computer with Four Dimensional Geometric Codes
• Kitaev's Lattice Model and Turaev-Viro TQFTs
• Quantum Error Correction Exploiting Degeneracy to Approach the Hashing Bound
• Union-Intersection Union-Find for Decoding Depolarizing Errors in Topological Codes
• Topological approach toward quantum codes with realistic physical constraints
• Stabilizer Rényi entropy
• Isotropic Layer Construction and Phase Diagram for Fracton Topological Phases
• The Metaphysics of Protection: Emergence, Agency, and the Ontological Status of Logical Qubits
• Blocklet concatenation: Low-overhead fault-tolerant protocols for fusion-based quantum computation
• Measurement-based quantum computation with variable-range interacting systems
• Spurious Long-range Entanglement and Replica Correlation Length
• Ultrahigh threshold nonstabilizer nonlinear quantum error correcting code
• Scalable Simulation of Fermionic Encoding Performance on Noisy Quantum Computers
• Competing Interactions and the Effects of Uniaxial Out-of-plane Perturbations in the Honeycomb Antiferromagnet Na₂Co₂TeO₆
• Evidence of chiral fermion edge modes through geometric engineering of thermal Hall in α-RuCl₃
• Discrete quantum systems from topological field theory
• Quantum computing and the entanglement frontier
• Full characterization of measurement-induced transitions of a superconducting qubit
• Quantum circuits as a game: A reinforcement learning agent for quantum compilation and its application to reconfigurable neutral atom arrays
• Topological Mixed States: Phases of Matter from Axiomatic Approaches
• The Origin of Aromaticity: Aromatic Compounds as Intrinsic Topological Superconductors with Majorana Fermion
• Enhancement in surface mobility and quantum transport of Bi_(2-x)Sb_(x)Te_(3-y)Se_(y) topological insulator by controlling the crystal growth conditions
• Hardness of decoding quantum stabilizer codes
• Magnetic field-free braiding and nontrivial fusion of Majorana bound states in high-temperature planar Josephson junctions
• «Anticommuting» ℤ₂ quantum spin liquids
• Three-Majorana Cotunneling Interferometer for Non-Abelian Braiding and Topological Quantum Gate Implementation
• A Unitary Encoder for Surface Codes
• Entanglement renormalization circuits for 2d Gaussian Fermion States
• Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions
• Stratified Cohomological Quantum Codes via Colimits in Ch(R)
• N-body interactions between trapped ion qubits via spin-dependent squeezing
• Self-attention U-Net decoder for toric codes
• Improved belief propagation is sufficient for real-time decoding of quantum memory
• Twisted Interferometry: the topological perspective
• Decomposition of Pauli groups via weak central products
• Coherent error induced phase transition
• Sequential decoding of the XYZ² hexagonal stabilizer code
• Absence of topological order in the U(1) checkerboard toric code
• Symmetry breaking at a topological phase transition
• Instantons and topological order in two-leg electron ladders: A universality class
• Symmetry-deformed toric codes and the quantum dimer model
• Quantum Lovász Local Lemma: Shearer's Bound is Tight
• Symmetry Theories, Wigner's Function, Compactification, and Holography
• Partons from stabilizer codes
• Interpretable Scaling Behavior in Sparse Subnetwork Representations of Quantum States
• The 2-Category of Topological Quantum Computation
• Flow to Nishimori universality in weakly monitored quantum circuits with qubit loss
• Quantum stabilizer codes from Abelian and non-Abelian groups association schemes
• High performance single-error-correcting quantum codes for amplitude damping
• Interplay between Hund's rule and Kondo effect in a quantum dot
• Quantum Error Correcting Subsystem Codes From Two Classical Linear Codes
• Bipartite entanglement and entropic boundary law in lattice spin systems
• Generalized Hall Conductivities in Local Commuting Projector Models: Generalized Symmetries and Protected Surface Modes
• Robust quantification of spectral transitions in perturbed quantum systems
• A Blueprint for a Topologically Fault-tolerant Quantum Computer
• Quantum Spin Liquids
• Dynamics of Anyon Clusters in Fractional Quantum Hall Fluids
• Ligand-SOC enhanced 4f⁵ Kitaev antiferromagnet: Application to SmI₃
• Data and Code for "Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code"
• Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
• Non-Clifford gates between stabilizer codes via non-Abelian topological order
• Gating of Au-Bi₂Se₃-NbN ramp-type junctions with superconducting NbN gate-electrode and SrTiO₃ film as the gate-insulator
• Extended Hubbard Model with Ring Exchange: A Route to a Non-Abelian Topological Phase
• New constructions of CSS codes obtained by moving to higher alphabets
• Kitaev's stabilizer code and chain complex theory of bicommutative Hopf algebras
• State Engineering of Unsteerable Hamiltonians
• Quantum computation: Algorithms and Applications
• Braid Group Representations and Defect Operators in AdS/CFT Correspondence
• Confinement as Decoding: Higher Form Codes and Lattice Yang-Mills Theory
• Notes on the Kitaev ↔ Tight-binding correspondence
• Quantum steganography using catalytic and entanglement-assisted quantum codes
• Procedure of tuning up a three-site artificial Kitaev chain based on transmon measurements
• Strong Hilbert space fragmentation and fractons from subsystem and higher-form symmetries
• Homological Stabilizer Codes
• Linked-Cluster Technique for Finding the Distance of a Quantum LDPC Code
• Lifting a CSS code via its handlebody realization
• Entanglement of stabilizer codewords
• Demystifying the Balanced Product Code: A Review
• Unconventional superfluidity in Bose-Fermi Mixtures
• Alternation and interchange of e/4 and e/2 period interference oscillations as evidence for filling factor 5/2 non-Abelian quasiparticles
• Fast correlated decoding of transversal logical algorithms
• Particle exchange statistics beyond fermions and bosons
• Experimental realization of Majorana hinge and corner modes in intrinsic organic topological superconductor without magnetic field at room temperature
• Exactly solvable dissipative dynamics and one-form strong-to-weak spontaneous symmetry breaking in interacting two-dimensional spin systems
• Braided Categorical Quantum Mechanics I
• Distributed Realization of Color Codes for Quantum Error Correction
• High-performance local decoders for defect matching in 1D
• Quantum Information Meets Quantum Matter -- From Quantum Entanglement to Topological Phase in Many-Body Systems
• Demonstration of low-overhead quantum error correction codes
• Abelian Topological Order on Lattice Enriched with Electromagnetic Background
• A note on electromagnetic edge modes
• Quon Classical Simulation: Unifying Cliffords, Matchgates and Entanglement
• Interface-Bound States and Majorana Zero Modes in Lateral Heterostructures of Bi₂Se₃ and Sb₂Te₃ with Proximity-Induced Superconductivity
• Protected Symmetrical Superconducting Qubit Based on Quantum Flux Parametron
• Speedup of iterated quantum search by parallel performance
• Spectra of Gauge Code Hamiltonians
• Algebraic Topology Principles behind Topological Quantum Error Correction
• Advancing Finite-Length Quantum Error Correction Using Generalized Bicycle Codes
• Josephson current signature of Floquet Majorana and topological accidental zero modes in altermagnet heterostructures
• Exactly Solvable Topological Phase Transition in a Quantum Dimer Model
• Native Non-Clifford Gates in Quantum LDPC Codes: Conditions, Synthesis, and Scaling Limits
• More on Optical Holonomic Quantum Computer
• Rényi Markov length in one-dimensional non-trivial mixed state phases and mixed state phase transitions
• The construction of a universal quantum gate set for the SU(2)k (k=5,6,7) anyon models via genetic optimized algorithm
• Ferroelectrically Switchable Chirality in Topological Superconductivity
• Effect of interatomic repulsion and quasi-degenerate states on a Kitaev-transmon qubit based on double quantum dots
• Polyhedron phase space using 2-groups: kappa-Poincare as a Poisson 2-group
• Homological error correction: Classical and quantum codes
• Aharonov-Bohm effect in the non-Abelian quantum Hall fluid
• Observation of Half-Quantum Vorticity in an Iron-based Superconductor
• Breakdown of a Topological Phase: Quantum Phase Transition in a Loop Gas Model with Tension
• Disorder Operators and their Descendants
• 2D multipartite valence bond states in quantum anti-ferromagnets
• Classification of intrinsically mixed 1+1D non-invertible Rep(G) × G SPT phases
• Topological Insulators
• Tensor-product representations for string-net condensed states
• Anyonic interferometry and protected memories in atomic spin lattices
• Condensation of an ideal gas obeying non-Abelian statistics
• Forced Gap Post-Selection for Quantum LDPC Codes and their Operations
• Topology of Andreev bound states with flat dispersion
• Observation of the emergent photon in a metastable fractionalized phase of Bose-condensed excitons: Monte Carlo simulation
• Pfaffian quantum Hall state made simple: Multiple vacua and domain walls on a thin torus
• Measuring fractional charge and statistics in fractional quantum Hall fluids through noise experiments
• STAR-Magic Mutation: Even More Efficient Analog Rotation Gates for Early Fault-Tolerant Quantum Computer
• Topology-driven phase transitions in the classical monomer-dimer-loop model
• Fractionalization, Topological Order, and Quasiparticle Statistics
• Degeneracy of non-Abelian quantum Hall states on the torus: domain walls and conformal field theory
• Vortices, Zero Modes, and Fractionalization in the Bilayer-Graphene Exciton Condensate
• Topological quantum compiling
• Reduced density matrices and topological order in a quantum dimer model
• Quantum error correction at ultra-low overhead
• Topological Computation without Braiding
• Strong-Disorder Paramagnetic-Ferromagnetic Fixed Point in the Square-Lattice ±J Ising Model
• Towards universal topological quantum computation in theν=52fractional quantum Hall state
• Exact Results for Quench Dynamics and Defect Production in a Two-Dimensional Model
• Thermopower as a possible probe of non-Abelian quasiparticle statistics in fractional quantum Hall liquids
• GHZ extraction yield for multipartite stabilizer states
• Quantum magnets with weakly confined spinons: Multiple length scales and quantum impurities
• Superselection rules and quantum protocols
• Microscopic theory of the nearest-neighbor valence bond sector of the spin-12 kagome antiferromagnet
• The entropic boundary law in BF theory
• Bang-bang control of a qubit coupled to a quantum critical spin bath
• Strong Dissipation Inhibits Losses and Induces Correlations in Cold Molecular Gases
• Internal consistency of fault-tolerant quantum error correction in light of rigorous derivations of the quantum Markovian limit
• An exactly soluble model with tunable p -wave paired fermion ground states
• Topologically Decoherence-Protected Qubits with Trapped Ions
• Josephson-coupled Moore-Read states
• Topological Transition in a Non-Hermitian Quantum Walk
• Operator quantum error-correcting subsystems for self-correcting quantum memories
• Optimal Nonlinear Passage Through a Quantum Critical Point
• Quantum Error Correction of Time-Correlated Errors
• Deep Learning Approaches to Quantum Error Mitigation
• A no-go theorem for a two-dimensional self-correcting quantum memory based on stabilizer codes
• Improved simulation of stabilizer circuits
• Proximity effect at the superconductor–topological insulator interface
• Fractional quantum Hall hierarchy and the second Landau level
• Entanglement of topological phase factors
• Exact location of the multicritical point for finite-dimensional spin glasses: a conjecture
• Graphical nonbinary quantum error-correcting codes
• Discrete non-Abelian gauge theories in Josephson-junction arrays and quantum computation
• Viscosities and shift in a chiral superfluid: a holographic study
• Re-examining the directional-ordering transition in the compass model with screw-periodic boundary conditions
• Recovering coherence via conditional measurements
• Bound states in two-dimensional spin systems near the Ising limit: A quantum finite-lattice study
• Identification of 331 quantum Hall states with Mach-Zehnder interferometry
• Error-detection-based quantum fault tolerance against discrete Pauli noise
• Entanglement, fidelity, and topological entropy in a quantum phase transition to topological order
• Skein theory and topological quantum registers: Braiding matrices and topological entanglement entropy of non-Abelian quantum Hall states
• Anyonic interferometry without anyons: how a flux qubit can read out a topological qubit
• Theory of non-Abelian Fabry-Perot interferometry in topological insulators
• A Wilson line picture of the Levin–Wen partition functions
• String-nets, single- and double-stranded quantum loop gases for non-Abelian anyons
• Role of the Majorana Fermion and the Edge Mode in Chiral Superfluidity near ap-Wave Feshbach Resonance
• Topological Quantum Computing with Read-Rezayi States
• Proximity-induced gap in nanowires with a thin superconducting shell
• Bell's Inequality, Generalized Concurrence and Entanglement in Qubits
• Correlation functions of one-dimensional Lieb–Liniger anyons
• Spontaneous symmetry breakings in Z2 gauge theories for doped quantum dimer and eight-vertex models
• Decoherence of Anyonic Charge in Interferometry Measurements
• Topological subsystem codes
• Emergent U(1) gauge theory with fractionalized boson/fermion from the Bose condensation of excitons in a multiband insulator
• Stability of quantum concatenated-code Hamiltonians
• Notes on Adiabatic Quantum Computers
• Local stabilizer codes in three dimensions without string logical operators
• Stabilizer Formalism for Operator Quantum Error Correction
• Breakdown of a perturbed \boldsymbol\mathbbmZ_N topological phase
• Braid Topologies for Quantum Computation
• Interacting non-Abelian anyons as Majorana fermions in the honeycomb lattice model
• Anyonic braiding in optical lattices
• Topological phases and topological entropy of two-dimensional systems with finite correlation length
• Loop models and their critical points
• Renormalization group analysis of resonantly interacting anyons
• Fusion rules and vortices inpx+ipysuperconductors
• Fidelity and Uhlmann connection analysis of topological phase transitions in two dimensions
• Non-Abelian anyonic interferometry with a multi-photon spin lattice simulator
• Experimental Implementation of a Concatenated Quantum Error-Correcting Code
• Spin structure and critical nucleation frequency of fractionalized vortices in 2D topologically ordered superfluids of cold atoms
• Intermediate-statistics quantum bracket, coherent state, oscillator, and representation of angular momentum [su(2)] algebra
• Selective Equal-Spin Andreev Reflections Induced by Majorana Fermions
• Local decoder for the toric code via signal exchange
• Fermions without Fermion Fields
• Anyons in a weakly interacting system
• Topological Phase Transitions in the Golden String-Net Model
• Quantum Computation on the Edge of a Symmetry-Protected Topological Order
• Trapping Abelian anyons in fractional quantum Hall droplets
• Stability of Majorana fermions in proximity-coupled topological insulator nanowires
• Non-Abelian Gauge Potentials in Graphene Bilayers
• Quasi-adiabatic Continuation of Quantum States: The Stability of Topological Ground State Degeneracy and Emergent Gauge Invariance
• From Luttinger liquid to non-Abelian quantum Hall states
• トップインタビュー グラスバレー50周年を機に新製品投入--EDIUSと他のGV製品との連携を強化--トムソン・カノープス(株)代表取締役上級副社長・DESビジネスライン統括 平野景由氏 (特集 NAB2009&KOBA2009速報)
• Quantum computing by optical control of electron spins
• Preparing topological projected entangled pair states on a quantum computer
• Absence of coherent peaks in a Z2 fractionalized BCS superconducting state
• DISTRIBUTED QUANTUM COMPUTATION ARCHITECTURE USING SEMICONDUCTOR NANOPHOTONICS
• An open-system quantum simulator with trapped ions
• Paired fermionic superfluids with s- and p-wave interactions
• Computational equivalence of the two inequivalent spinor representations of the braid group in the Ising topological quantum computer
• Anyons from nonsolvable finite groups are sufficient for universal quantum computation
• Proposed Aharonov-Casher interference measurement of non-Abelian vortices in chiralp-wave superconductors
• Classification of symmetry enriched topological phases with exactly solvable models
• Classifying quantum phases with the Kirby torus trick
• Fast decoders for qudit topological codes
• Low-energy effective theory for one-dimensional lattice bosons near integer filling
• The eigenstate thermalization hypothesis in constrained Hilbert spaces: A case study in non-Abelian anyon chains
• Edge-induced qubit polarization in systems with Ising anyons
• Search for Majorana Fermions in Superconductors
• Approximating strongly correlated wave functions with correlator product states
• Demonstration of Protection of a Superconducting Qubit from Energy Decay
• Perturbative 2-body parent Hamiltonians for projected entangled pair states
• Majorana fermions in a tunable semiconductor device
• Two-body relaxation in a Fermi gas at a p-wave Feshbach resonance
• Topological superfluid in a trapped two-dimensional polarized Fermi gas with spin-orbit coupling
• Measurement-Based Quantum Computation on Symmetry Breaking Thermal States
• Tensor networks with a twist: Anyon-permuting domain walls and defects in projected entangled pair states
• Fermionic Band Dispersions and an Evidence of Cooperon Excitations in a Spin-1/2 Trimer Chain
• Direct experimental simulation of the Yang–Baxter equation
• Topology-driven quantum phase transitions in time-reversal-invariant anyonic quantum liquids
• Sparse Mamba Decoder for Quantum Error Correction: Efficient Defect-Centric Processing of Surface Code Syndromes
• Renormalization algorithm with graph enhancement
• Nested topological order
• Phases and phase transitions in aU(1)×U(1)system withθ=2π/3mutual statistics
• Quantum Computers Can Search Rapidly by Using Almost Any Transformation
• Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order
• Braiding Statistics and Link Invariants of Bosonic/Fermionic Topological Quantum Matter in 2+1 and 3+1 dimensions
• A Modular Functor Which is Universal¶for Quantum Computation
• Designing a Million-Qubit Quantum Computer Using Resource Performance Simulator
• Topological quantum computation
• Optimizing glassyp-spin models
• Doubled Color Codes
• Gapped Boundaries of Kitaev's Quantum Double Models: A Lattice Realization of Anyon Condensation from Lagrangian Algebras
• Magnetononlinear Hall effect from multigap topology in metal-organic frameworks
• Generalized Kerr-Cat Qubit Codes
• Topological Device-Independent Quantum Key Distribution Using Majorana-Based Qubits
• Low-valency scalable quantum error correction with a dynamic compass code
• Improved T counts and active volume estimates for high-level arithmetic subroutines
• Quantum Error Correction in Quaternionic Hilbert Spaces
• On the Generalization of Kitaev Codes as Generalized Bicycle Codes
• Efficient witnessing and testing of magic in mixed quantum states
• Fault-Tolerant Error Detection Above Break-Even for Multi-Qubit Gates
• The genetics of floral development in wheat.
• Topological liquid nucleation induced by vortex-vortex interactions in Kitaev's honeycomb model
• Protecting Quantum Simulations of Lattice Gauge Theories through Engineered Emergent Hierarchical Symmetries
• Topological quantum order: Stability under local perturbations
• Micromotion-enabled improvement of quantum logic gates with trapped ions
• Effects of nonmagnetic disorder on the energy of Yu-Shiba-Rusinov states
• Quantum Simulation of Collective Neutrino Oscillations using Dicke States
• Entanglement Entropy and Entanglement Spectrum of the Kitaev Model
• Entanglement and topological entropy of the toric code at finite temperature
• Superconductor-nanowire devices from tunneling to the multichannel regime: Zero-bias oscillations and magnetoconductance crossover
• Topological superconducting phase in helical Shiba chains
• Thoughts on Noise and Quantum Computation
• Simulation of rare events in quantum error correction
• Photonic Architecture for Scalable Quantum Information Processing in Diamond
• Topological Phases of Dipolar Particles in Elongated Wannier Orbitals
• Quantum Walks with Non-Abelian Anyons
• Qubit rotation in QHE
• 3D Topological Quantum Memory with a Power-Law Energy Barrier
• Strictly local one-dimensional topological quantum error correction with symmetry-constrained cellular automata
• Topological degeneracy of non-Abelian states for dummies
• Measurement-based quantum computation
• Double-semion topological order from exactly solvable quantum dimer models
• Generalizations and limitations of string-net models
• Russian doll spectrum in a non-Abelian string-net ladder
• Zero modes of two-dimensional chiralp-wave superconductors
• A Simple Decoder for Topological Codes
• Half-metallic surface states and topological superconductivity in NaCoO<mml:mrow/>2from first principles
• Low-distance surface codes under realistic quantum noise
• Message passing in fault-tolerant quantum error correction
• Topological order from quantum loops and nets
• Chain of Majorana States from Superconducting Dirac Fermions at a Magnetic Domain Wall
• Manipulating unpaired Majorana fermions in a quantum spin chain
• Tensor-entanglement renormalization group approach as a unified method for symmetry breaking and topological phase transitions
• Kitaev model and dimer coverings on the honeycomb lattice
• Lifetime of topological quantum memories in thermal environment
• TopologicalπJosephson junction in superconducting Rashba wires
• Pfaffian Statistics through Adiabatic Transport in the 1D Coherent State Representation
• Complete criterion for convex-Gaussian-state detection
• Quantum algorithms for spin models and simulable gate sets for quantum computation
• Quantizing braids and other mathematical structures: the general quantization procedure
• Perturbative study of the Kitaev model with spontaneous time-reversal symmetry breaking
• Berry phase and quantum criticality in Yang–Baxter systems
• Ground-state degeneracy in the Levin-Wen model for topological phases
• Quantum Codes Give Counterexamples to the Unique Preimage Conjecture of theN-Representability Problem
• Automated searching for quantum subsystem codes
• Quantum computation in brain microtubules: Decoherence and biological feasibility
• Dynamics of a quantum phase transition and relaxation to a steady state
• Towards Topological Quantum Computation? - Knotting and Fusing Flux\n Tubes
• Exotic superconductivity in the doped Kitaev quantum spin liquid
• Quantum information theory and Fourier multipliers on quantum groups
• Manipulating Topological Edge Spins in a One-Dimensional Optical Lattice
• Topological energy transfer in an optomechanical system with exceptional points
• Genetic braid optimization: A heuristic approach to compute quasiparticle braids
• Plasma analogy and non-Abelian statistics for Ising-type quantum Hall states
• Topological Quantum Buses: Coherent Quantum Information Transfer between Topological and Conventional Qubits
• Entanglement and Majorana edge states in the Kitaev model
• Measurement-based quantum computation with the toric code states
• Systematically generated two-qubit anyon braids
• Stability of Local Quantum Dissipative Systems
• Testable Signatures of Quantum Nonlocality in a Two-Dimensional Chiralp-Wave Superconductor
• Topological Degeneracy and Vortex Manipulation in Kitaev’s Honeycomb Model
• Entanglement between particle partitions in itinerant many-particle states
• Frustration Free Gapless Hamiltonians for Matrix Product States
• Edge Excitations and Non-Abelian Statistics in the Moore-Read State: A Numerical Study in the Presence of Coulomb Interaction and Edge Confinement
• A family of stabilizer codes for D(ℤ₂) anyons and Majorana modes
• Evidence for spin-triplet odd-parity superconductivity close to type-II van Hove singularities
• Effective Fault-Tolerant Quantum Computation with Slow Measurements
• Quasiparticle engineering and entanglement propagation in a quantum many-body system
• Information-theoretical formulation of anyonic entanglement
• Composite Dirac Liquids: Parent States for Symmetric Surface Topological Order
• Fermions and nontrivial loop-braiding in a three-dimensional toric code
• Quench dynamics and defect production in the Kitaev and extended Kitaev models
• Fidelity susceptibility and long-range correlation in the Kitaev honeycomb model
• Fidelity analysis of topological quantum phase transitions
• Layer Construction of 3D Topological States and String Braiding Statistics
• Freely Scalable Quantum Technologies Using Cells of 5-to-50 Qubits with Very Lossy and Noisy Photonic Links
• Intrinsic topological superconductivity with exactly flat surface bands in the quasi-one-dimensional A2Cr3As3 (A=Na, K, Rb, Cs) superconductors
• Algebraic Topology Foundations of Supersymmetry and Symmetry Breaking in Quantum Field Theory and Quantum Gravity: A Review
• Boundary degeneracy of topological order
• Code for "Laughlin-like states of few atomic excitations in small subwavelength atom arrays"
• Nematic quantum phases in the bilayer honeycomb antiferromagnet
• Optimal diabatic dynamics of Majorana-based quantum gates
• All-electrically tunable networks of Majorana bound states
• Non-Abelian Anyons: When Ising Meets Fibonacci
• Reconstructing non-Abelian braiding and fusion without anyon transport
• Doubled Shapiro steps in a topological Josephson junction
• Stability of Half-Quantum Vortices inpx+ipySuperconductors
• Universal Periods in Quantum Hall Droplets
• String Phase in an Artificial Spin Ice
• Focus beyond Quadratic Speedups for Error-Corrected Quantum Advantage
• Diagnosing phases of magnetic insulators via noise magnetometry with spin qubits
• Towards local testability for quantum coding
• Topological bootstrap: Fractionalization from Kondo coupling
• Indistinguishable particles in quantum mechanics: an introduction
• Quantum critical phase transition between two topologically ordered phases in the Ising toric code bilayer
• Two-dimensional Fermi gases near a p-wave resonance: Effect of quantum fluctuations
• Three-dimensionalZ2topological phases enriched by time-reversal symmetry
• Holographic RG flows for Kondo-like impurities
• Quantum phase transition in theZ3Kitaev-Potts model
• Encoding a logical qubit into physical qubits
• Quantum memories and Landauer's principle
• Negativity and topological order in the toric code
• Fault-tolerant holonomic quantum computation in surface codes
• Deformed quantum double realization of the toric code and beyond
• Foliated Quantum Error-Correcting Codes
• Interplay of uniform U(1) quantum spin liquid and magnetic phases in rare-earth pyrochlore magnets: A fermionic parton approach
• Theory of twist liquids: Gauging an anyonic symmetry
• Quantum Self-Correction in the 3D Cubic Code Model
• Anonymous broadcasting of classical information with a continuous-variable topological quantum code
• Hidden Anderson localization in disorder-free Ising–Kondo lattice*
• Efficient topological compilation for a weakly integral anyonic model
• Quantum Speed Limits for Leakage and Decoherence
• Universal Logical Gates on Topologically Encoded Qubits via Constant-Depth Unitary Circuits
• Fault-tolerant quantum gates with defects in topological stabilizer codes
• Constructing Quantum Spin Liquids Using Combinatorial Gauge Symmetry
• Competing topological orders in three dimensions: X-cube versus toric code
• One-dimensional hard-core anyon gas in a harmonic trap at finite temperature
• Fidelity susceptibility and quantum adiabatic condition in thermodynamic limits
• Quantum circuits for measuring Levin-Wen operators
• Implementation of Clifford gates in the Ising-anyon topological quantum computer
• From entanglement renormalisation to the disentanglement of quantum double models
• Multi-qudit states generated by unitary braid quantum gates based on Temperley-Lieb algebra
• Zero-Energy Modes from Coalescing Andreev States in a Two-Dimensional Semiconductor-Superconductor Hybrid Platform
• Formulation of lattice gauge theories for quantum simulations
• Gate-controlled topological conducting channels in bilayer graphene
• Quantum computation with charge-and-color permuting twists in qudit color codes
• Universal current correlations induced by the Majorana and fermionic Andreev bound states
• 12(e2/h) Conductance Plateau without 1D Chiral Majorana Fermions
• Detecting Topological Order in a Ground State Wave Function
• Universal thermodynamics in the Kitaev fractional liquid
• Non-Abelian Chern–Simons models with discrete gauge groups on a lattice
• Exact solution of Z₂ Chern-Simons model on a triangular lattice
• Thermodynamics of Statistical Anyons
• Topological current divider
• An Invariant of Topologically Ordered States Under Local Unitary Transformations
• Modeling and simulating the noisy behavior of near-term quantum computers
• Measuring topological order
• Graph-state representation of the toric code
• Gravitational Solitons and Completeness
• The \bfZ_\bf2 toric-code and the double-semion topological order of hardcore Bose-Hubbard-type models in the strong-interaction limit
• Topological order in a three-dimensional toric code at finite temperature
• Topological states in two-dimensional optical lattices
• Three-dimensional topological phases in a layered honeycomb spin-orbital model
• Braiding Non-Abelian Quasiholes in Fractional Quantum Hall States
• Scheme for topological single electron pumping assisted by Majorana fermions
• Three-Dimensional Color Code Thresholds via Statistical-Mechanical Mapping
• A theorem for the existence of Majorana fermion modes in spin–orbit-coupled semiconductors
• Strong Localization of Majorana End States in Chains of Magnetic Adatoms
• From coupled wires to coupled layers: Model with three-dimensional fractional excitations
• Spin network quantum simulator
• Pfaffian-like ground state for three-body hard-core bosons in one-dimensional lattices
• Modern Computational Methods in Reinsurance Optimization: From Simulated Annealing to Quantum Branch & Bound
• Beating the break-even point with autonomous quantum error correction
• Universal quantum computing with twist-free and temporally encoded lattice surgery
• Numerical study of PbTe-Pb hybrid nanowires for engineering Majorana zero modes
• Deformed Symmetry Structures and Quantum Many-body Scar Subspaces
• Generation of photonic tensor network states with Circuit QED
• Anisotropic layer construction of anisotropic fracton models
• Non-Hermitian effects of the intrinsic signs in topologically ordered wavefunctions
• Spin-(1)/(2) kagome Heisenberg antiferromagnet with strong breathing anisotropy
• Theory of the kagome lattice Ising antiferromagnet in weak transverse fields
• Reduced fidelity in the Kitaev honeycomb model
• Disordered, spin liquid, and valence-bond ordered phases of kagome lattice quantum Ising models with transverse field andXXZdynamics
• Catalog of Andreev spectra and Josephson effects in structures with time-reversal-invariant topological superconductor wires
• Destabilization of Magnetic Order in a Dilute Kitaev Spin Liquid Candidate
• On Preparing Ground States of Gapped Hamiltonians: An Efficient Quantum Lovász Local Lemma
• Planar Josephson junction devices with narrow superconducting strips: Topological properties and optimization
• FROM GEOMETRY TO QUANTUM COMPUTATION
• Anatomy of Z2 fluxes in anyon Fermi liquids and Bose condensates
• Thresholds for Topological Codes in the Presence of Loss
• Fault tolerance of quantum low-density parity check codes with sublinear distance scaling
• Universal Set of Scalable Dynamically Corrected Gates for Quantum Error Correction with Always-on Qubit Couplings
• Suppression of2πphase slip due to hidden zero modes in one-dimensional topological superconductors
• Superconducting nanocircuits for topologically protected qubits
• Prethermal Strong Zero Modes and Topological Qubits
• Topological superconducting state and Majorana fermions in carbon nanotubes
• Hidden anomalous Hall effect in Sr2RuO4 with chiral superconductivity dominated by the Ru dxy orbital
• Quantum phase transition as an interplay of Kitaev and Ising interactions
• Quantum Circuits Assisted by Local Operations and Classical Communication: Transformations and Phases of Matter
• Anomalous quantum information scrambling for Z3 parafermion chains
• Quantum algebras associated with Bell states
• Topological and entanglement properties of resonating valence bond wave functions
• Experimental realization of classical Z2 spin liquids in a programmable quantum device
• The quest and hope of Majorana zero modes in topological superconductor for fault-tolerant quantum computing: An introductory overview
• One dimensional gapped quantum phases and enriched fusion categories
• Dynamics of a Majorana Trijunction in a Microwave Cavity
• Fault-tolerant gates via homological product codes
• Flag fault-tolerant error correction with arbitrary distance codes
• Topological color code and symmetry-protected topological phases
• Absence of supercurrent sign reversal in a topological junction with a quantum dot
• Channel capacities versus entanglement measures in multiparty quantum states
• Preparation of the 1/2-Laughlin state with atoms in a rotating trap
• Quantum Computing with Octonions
• Chiral Rashba spin textures in ultracold Fermi gases
• Experimentally efficient methods for estimating the performance of quantum measurements
• Strong coupling between a topological qubit and a nanomechanical resonator
• Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers
• Lattice surgery-based logical state teleportation via noisy links
• Observation of topology of non-Hermitian systems without chiral symmetry
• Topological Transitions from Multipartite Entanglement with Tensor Networks: A Procedure for Sharper and Faster Characterization
• Decay of fidelity in terms of correlation functions
• Comparison of memory thresholds for planar qudit geometries
• Quantum computation with Turaev–Viro codes
• Mapping Kitaev’s quantum double lattice models to Levin and Wen’s string-net models
• Measuring Chern numbers in Hofstadter strips
• Variational study of the Kitaev-Heisenberg-Gamma model
• Exact parent Hamiltonians of bosonic and fermionic Moore–Read states on lattices and local models
• Statistical mechanics of quantum error correcting codes
• Rapid mixing and stability of quantum dissipative systems
• Subfactors and quantum information theory
• Symmetry fractionalization in the topological phase of the spin-12J1−J2triangular Heisenberg model
• Machine learning for quantum matter
• Reducing quantum error correction overhead using soft information
• Fidelity of the surface code in the presence of a bosonic bath
• (k,n)-fractonic Maxwell theory
• Absence of Fibonacci anyons in Rydberg chains
• Multi-path Summation for Decoding 2D Topological Codes
• Twins Percolation for Qubit Losses in Topological Color Codes
• Combating quasiparticle poisoning with multiple Majorana fermions in a periodically-driven quantum wire
• Measurement-Free Topological Protection Using Dissipative Feedback
• Probing Non-Abelian Statistics of Majorana Fermions in Ultracold Atomic Superfluid
• Probing a topological quantum critical point in semiconductor-superconductor heterostructures
• Family of non-Abelian Kitaev models on a lattice: Topological condensation and confinement
• Electric–magnetic duality of lattice systems with topological order
• Quantum correlations and entanglement in a Kitaev-type spin chain
• Z3 topological order in the quantum dimer-pentamer model
• Magic state distillation from entangled states
• Exactly solvable models of spin liquids with spinons, and of three-dimensional topological paramagnets
• Chiral topological superconductivity in Josephson junctions
• Effective model with strong Kitaev interactions for α−RuCl3
• Majorana modes and p-wave superfluids for fermionic atoms in optical lattices
• Quantum phase transitions to topological Haldane phases in spin-one chains studied by linked-cluster expansions
• Quantum phase transition in a multicomponent anyonic Lieb-Liniger model
• Compilation of Fault-Tolerant Quantum Heuristics for Combinatorial Optimization
• Dispersive Readout of Majorana Qubits
• Hierarchical surface code for network quantum computing with modules of arbitrary size
• Scaling law for topologically ordered systems at finite temperature
• Controlling topological superconductivity by magnetization dynamics
• Chiral Projected Entangled-Pair State with Topological Order
• Topological quantum glassiness
• Demonstrating non-Abelian braiding of surface code defects in a five qubit experiment
• Destroying a topological quantum bit by condensing Ising vortices
• Topological Phases of Parafermions: A Model with Exactly Solvable Ground States
• Exploring Non-Abelian Geometric Phases in Spin-1 Ultracold Atoms
• Entanglement properties of topological color codes
• Protocol Discovery for the Quantum Control of Majoranas by Differentiable Programming and Natural Evolution Strategies
• Topological order and topological entropy in classical systems
• Braiding statistics and congruent invariance of twist defects in bosonic bilayer fractional quantum Hall states
• Fractional Quantum Hall States atν=13/5and12/5and Their Non-Abelian Nature
• On sampling determinantal and Pfaffian point processes on a quantum computer
• Como achei a fazenda da senadora golpista Ana Amélia
• Singularity in entanglement negativity across finite-temperature phase transitions
• Experimental simulation of anyonic fractional statistics with an NMR quantum-information processor
• Fidelity and visibility loss in Majorana qubits by entanglement with environmental modes
• Topological Quantum Computing with Only One Mobile Quasiparticle
• Quantum gates for Majoranas zero modes in topological superconductors in one-dimensional geometry
• Operator locality in the quantum simulation of fermionic models
• Exponentially improved classical and quantum algorithms for three-body Ising models
• Entropy scaling law and the quantum marginal problem: simplification and generalization
• Exact Nonequilibrium Transport in the Topological Kondo Effect
• Quantum spin liquid states
• Poking Holes and Cutting Corners to Achieve Clifford Gates with the Surface Code
• Kitaev honeycomb and other exotic spin models with polar molecules
• Distinct-symmetry spin-liquid states and phase diagram of the Kitaev-Hubbard model
• Translational Symmetry and Microscopic Constraints on Symmetry-Enriched Topological Phases: A View from the Surface
• Tensor network state approach to quantum topological phase transitions and their criticalities of Z2 topologically ordered states
• Stroboscopic Generation of Topological Protection
• Quantum anomalous Hall Majorana platform
• Fractional Quantum Hall Effects
• Good approximate quantum LDPC codes from spacetime circuit Hamiltonians
• Robustness of a Perturbed Topological Phase
• Fibonacci Anyons Versus Majorana Fermions: A Monte Carlo Approach to the Compilation of Braid Circuits in SU(2)k Anyon Models
• Effective Three-Body Interactions in Cs(6s)−Cs(nd) Rydberg Trimers
• Choreographed entanglement dances: Topological states of quantum matter
• Physical solutions of the Kitaev honeycomb model
• Quantum measurements and gates by code deformation
• Exciton condensation and fractional charge in a bilayer two-dimensional electron gas adjacent to a superconductor film
• Modeling noise and error correction for Majorana-based quantum computing
• Dyonic zero-energy modes
• Thermal and magnetoelastic properties of α-RuCl 3 in the field-induced low temperature states
• Harnessing symmetry-protected topological order for quantum memories
• Topologically protected quantum state transfer in a chiral spin liquid
• Lifetime of Majorana qubits in Rashba nanowires with nonuniform chemical potential
• Novel quantum phases on graphs using abelian gauge theory
• Topological Contextuality and Anyonic Statistics of Photonic-Encoded Parafermions
• Distinct Properties of Vortex Bound States Driven by Temperature
• On the stability of topological phases on a lattice
• Sequentially generated states for the study of two-dimensional systems
• Evolution of quantum entanglement with disorder in fractional quantum Hall liquids
• Detecting topological order with ribbon operators
• Twofold twist defect chains at criticality
• Anyon computers with smaller groups
• Protected Josephson Rhombus Chains
• Entanglement entropy and nonabelian gauge symmetry
• Kmatrix construction of symmetry-enriched phases of matter
• Topological quantum computation based on chiral Majorana fermions
• Triangular color codes on trivalent graphs with flag qubits
• Characterizing Topological Order by Studying the Ground States on an Infinite Cylinder
• Dynamical stability of the quantum Lifshitz theory in 2+1 dimensions
• Ising anyons in frustration-free Majorana-dimer models
• Frustrated Magnetism of Dipolar Molecules on a Square Optical Lattice: Prediction of a Quantum Paramagnetic Ground State
• Quantum spin models for measurement-based quantum computation
• Measurement-Based Quantum Computation
• Effective field theory approach for the S=32 bilayer honeycomb antiferromagnet
• Excitations in the field-induced quantum spin liquid state of α-RuCl3
• Properties and application of SO(3) Majorana representation of spin: Equivalence with Jordan-Wigner transformation and exact Z2 gauge theories for spin models
• Template-Assisted Scalable Nanowire Networks
• Creating a bosonic fractional quantum Hall state by pairing fermions
• Constructing topological models by symmetrization: A projected entangled pair states study
• Noise tailoring for scalable quantum computation via randomized compiling
• Classical Spin Liquid on the Maximally Frustrated Honeycomb Lattice
• Tunable Splitting of the Ground-State Degeneracy in Quasi-One-Dimensional Parafermion Systems
• Ring-Exchange Interaction in Doubly Degenerate Orbital System
• Quantum Geometry of Finite XY Chains: A Comparison of Neveu-Schwarz and Ramond Sectors
• Fusion basis for lattice gauge theory and loop quantum gravity
• Majorana Doublets, Flat Bands, and Dirac Nodes in s-Wave Superfluids
• Fault Tolerant Quantum Computation with Very High Threshold for Loss Errors
• Condensates of interacting non-Abelian SO(5)Nf anyons
• Topological Entanglement Entropy
• Tunneling spectroscopy of Majorana-Kondo devices
• Learning transitions in classical Ising models and deformed toric codes
• Locality-aware Pauli-based computation for local magic state preparation
• Fragility of the Fractional Josephson Effect in Time-Reversal-Invariant Topological Superconductors
• Spin-SKitaev model: Classical ground states, order from disorder, and exact correlation functions
• Thermal canting of spin-bond order
• Fractonic Chern-Simons and BF theories
• Ordered and tunable Majorana-zero-mode lattice in naturally strained LiFeAs
• Self-organized topological superconductivity in a Yu-Shiba-Rusinov chain
• A Unified Framework for Sample Complexity of Structured Quantum State Tomography under Noisy Observations
• Quantum phases of the frustrated XY models on the honeycomb lattice
• Assessing the Progress of Trapped-Ion Processors Towards Fault-Tolerant Quantum Computation
• Enhanced noise resilience of the surface–Gottesman-Kitaev-Preskill code via designed bias
• Microscopic models for Kitaev's sixteenfold way of anyon theories
• Nanomaterials for Quantum Information Science and Engineering
• Higher lattices, discrete two-dimensional holonomy and topological phases in (3 + 1)D with higher gauge symmetry
• Closed form logical error rate approximations for surface codes
• GreenPeas: Unlocking adaptive quantum error correction with just-in-time decoding hypergraphs
• Spin stiffness and resilience phase transition in a noisy toric-rotor code
• Ground-state properties of the one-dimensional unconstrained pseudo-anyon Hubbard model
• Qudit surface codes and gauge theory with finite cyclic groups
• Shuttling Majorana zero modes in disordered and noisy topological superconductors
• Lattice Surgery Compilation Beyond the Surface Code
• Majorana fermions in semiconductor nanowires
• Local spin operators for fermion simulations
• Spin-Orbital Intertwined Topological Superconductivity in a Class of Correlated Noncentrosymmetric Materials
• Near-zero-energy end states in topologically trivial spin-orbit coupled superconducting nanowires with a smooth confinement
• ℤ_N generalizations of three-dimensional stabilizer codes
• Endstates in multichannel spinlessp-wave superconducting wires
• A Note on the Minimum Distance of Quantum LDPC Codes
• Protected gates for topological quantum field theories
• Planar quantum low-density parity-check codes with open boundaries
• A Systematic Approach to Hyperbolic Quantum Error Correction Codes
• How Long Can a Quantum Memory Withstand Depolarizing Noise?
• Demonstration of a quantum error detection code using a square lattice of four superconducting qubits
• Holonomic implementation of CNOT gate on topological Majorana qubits
• A perspective on semiconductor-based superconducting qubits
• Pfaffian State Generation by Strong Three-Body Dissipation
• Identifying Universal Spin Excitations in Spin-1/2 Kagome Quantum Spin Liquid Materials
• Quantum computing: pro and con
• Fractional quantum Hall effect in optical lattices
• Online Gaussian elimination for quantum LDPC decoding
• Field theories with a vector global symmetry
• Parallelized quantum error correction with fracton topological codes
• Spin-Wave Excitations Evidencing the Kitaev Interaction in Single Crystalline α−RuCl3
• Topological order in the color-flavor locked phase of a (3+1)-dimensional U(N) gauge-Higgs system
• Quantum computing with parafermions
• Independent e- and m-anyon confinement in the parallel field toric code on non-square lattices
• Symmetry-protected topological wire in a topological vacuum
• Condensate-induced transitions between topologically ordered phases
• Efficient representation of quantum many-body states with deep neural networks. [europepmc]
• Full-gap superconductivity in spin-polarised surface states of topological semimetal β-PdBi 2 . [europepmc]
• Materials analysis and focused ion beam nanofabrication of topological insulator Bi 2 Se 3 . [europepmc]
• Selectivity Map for Molecular Beam Epitaxy of Advanced III-V Quantum Nanowire Networks. [europepmc]
• Next steps of quantum transport in Majorana nanowire devices. [europepmc]
• Non-Hermitian fractional quantum Hall states. [europepmc]
• Measuring a dynamical topological order parameter in quantum walks. [europepmc]
• Optical framed knots as information carriers. [europepmc]
• Observation of magnetic adatom-induced Majorana vortex and its hybridization with field-induced Majorana vortex in an iron-based superconductor. [europepmc]
• The XZZX surface code. [europepmc]
• Anomalous normal fluid response in a chiral superconductor UTe 2 . [europepmc]
• Identification of magnetic interactions and high-field quantum spin liquid in α-RuCl 3 . [europepmc]
• Exponential suppression of bit or phase errors with cyclic error correction. [europepmc]
• Precursors of Majorana modes and their length-dependent energy oscillations probed at both ends of atomic Shiba chains. [europepmc]
• A quantum processor based on coherent transport of entangled atom arrays. [europepmc]
• Perspective on the Current State-of-the-Art of Quantum Computing for Drug Discovery Applications. [europepmc]
• Biology and medicine in the landscape of quantum advantages. [europepmc]
• Non-Abelian braiding of graph vertices in a superconducting processor. [europepmc]
• High-fidelity parallel entangling gates on a neutral-atom quantum computer. [europepmc]
• Quantum many-body simulations on digital quantum computers: State-of-the-art and future challenges. [europepmc]
• Parallel Implementation of the Density Matrix Renormalization Group Method Achieving a Quarter petaFLOPS Performance on a Single DGX-H100 GPU Node. [europepmc]
• Quantum error correction below the surface code threshold. [europepmc]
• Interferometric single-shot parity measurement in InAs-Al hybrid devices. [europepmc]
• Visualizing dynamics of charges and strings in (2 + 1)D lattice gauge theories. [europepmc]
• Topological order [wikipedia]
• Deep Neural Network Probabilistic Decoder for Stabilizer Codes. [europepmc]

Discussions

• An important open mathematical problem in the theoretical foundation of topological order is to prove that the universal properties (braiding and fusion) of point-like excitations in any gapped phase [stackexchange, 3 points]
• 12/12 Finally, and most obscurely, this grill at Park Güell reminds me of Kitaev’s toric quantum error correcting code: arxiv.org/abs/quant-ph... [bsky, 1 points, 0 comments]
• Suppose a lattice system is $G$ -symmetric, when we try to gauge this symmetry, we follow the following steps (for example toric code Levin Gu Xie Chen ): minimal coupling: the original Hamiltonian is [stackexchange, 1 points]

Related

• Quantum computing with anyons is fault tolerant
• Fault-Tolerant Quantum Computation
• Quantum computation with abelian anyons
• Topological Quantum Computation
• Robust quantum computation by simulation