Completely positive dynamical semigroups of <i>N</i>-level systems
1976/05/01 by Vittorio Gorini, Andrzej Kossakowski, E. C. G. Sudarshan · 235 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum many-body systems #Quantum chaos and dynamical systems
paper · doi:10.1063/1.522979
Abstract
We establish the general form of the generator of a completely positive dynamical semigroup of an N-level quantum system, and we apply the result to derive explicit inequalities among the physical parameters characterizing the Markovian evolution of a 2-level system.
Cited by
- Markovian evolution from a novel scheme
- Complete positivity and self-adjointness
- Thermalization in Open Many-Body Systems and KMS Detailed Balance
- Simulation methods for open quantum many-body systems
- Quantum Heat Engines and Refrigerators: Continuous Devices
- Spinterface-like Mechanism of the Chirality-Induced Spin Selectivity in Donor–Chiral Bridge–Acceptor Complexes
- Fluctuation-Induced Bistability in the Dissipative Dynamics of Generic Cavity-Matter Quantum Systems
- Dynamics of two interacting dipolar two-level systems in a multi-mode electromagnetic cavity: sudden death and revival of the entanglement within the Born-Markov approximation
- Non-adiabatic transitions in the density matrix formalism
- Near-Optimal Learning of Local Lindbladians
- Variance-Reduced Trajectory Unravelings for GPU Noisy Quantum-Circuit Simulation: Characterization and a Qiskit-Aer Integration Gap
- Neural Gauge-P Representation for Open Quantum Dynamics of Interacting Bosons
- Thermodynamics of Quantum Reservoir Computing
- Contractivity of the Hilbert--Schmidt Speed and Unitality--Divisibility-Based Witnesses in Finite-Dimensional Quantum Dynamics
- Strong Quantum Mpemba Effect from Exact Slow-Mode Selection in Constrained Rydberg Chains
- From Canonical to Tunable Phase Diagrams in Open Quantum Long-Range Systems
- Learning Volterra Memory Kernels for Non-Markovian Qubit Dynamics
- Broken Detailed Balance and Entropy Production in CPTP Quantum Brownian Motion
- Physics-Informed Learning of Effective Error Processes from Limited Noisy Transmon Measurements for Robust QAOA Reliability
- Optimal Quantum Metrology for Probing the Unruh Effect with Uniformly Accelerated Two-Level Atoms
- Controlling charge and spin currents through nonreciprocal dissipative processes
- Parameter Estimation in a Continuously Monitored Non-Markovian Quantum System
- An experimental pathway towards an exact theory of strong coupling
- The Trinity of Markovian Quantum Thermodynamics: Unifying the Axiomatic, Microscopic, and Operational Paradigms
- Dissipation- versus chaos-induced relaxation in non-Markovian quantum many-body systems
- Trajectory-independent speed limits for controlled open quantum systems
- Is Lindblad for me?
- Electron dynamics induced by quantum cat-state light
- Diffusion in quantum state preparation: From passive cooling to system-bath engineering
- Non-Markovianity and memory enhancement in quantum reservoir computing
- A generalization of the Choi isomorphism with application to open quantum systems
- A Bogoliubov-ratio framework for quantum-information diagnostics of time-dependent two-mode Boson Hamiltonian
- On regions of mixed unitarity for semigroups of unital quantum channels
- On the existence of the KMS spectral gap in Gaussian quantum Markov semigroups
- On Propagation of Fixed Points of Quantum Operations and Beyond
- Entropy Power Inequality in Fermionic Quantum Computation
- The Piecewise Deterministic Process Associated to EEQT
- A quantum model of opinion dynamics on networks
- Partial Collapse and Ensemble Invariance under Continuous Quantum Measurement
- Some aspects of the interplay between bipartite correlations and quantum channels
- Markovian approximation for Pauli Fierz operators
- Quantum feedback for measurement and control
- Relationships between the decoherence-free algebra and the set of fixed points
- Multi-product Zeno effect with higher order convergence rates
- Characterizing Arbitrary Lindbladian Dynamics with a Few Pauli Measurements
- Gravitational acceleration encoded in Jaynes Cummings exchange frequencies: Quantum Fisher information, readout, and validity conditions
- Anomalous entanglement scaling from eigenvector nonorthogonality in critical non-Hermitian free fermions
- Purcell-Engineered Hybrid Coupler for Leakage-Suppressed Robust CZ Gates
- A General First- and Second-Order Numerical Solver for Non-Markovian Quantum State Diffusion
- Quantum Simulations of the Non-Unitary Time Evolution and Applications to Neutral-Kaon Oscillations
- fractional-time deformation of quantum coherence in open systems: a non-markovian framework beyond lindblad dynamics
- PT-Symmetric Spin--Boson Model with a Continuous Bosonic Spectrum: Exceptional Points and Dynamics
- Nonequilibrium quantum thermometry with noncommutative system-bath couplings
- Structure-Preserving Optimal Control of Open Quantum Systems via a Discrete Contact PMP
- Temporal nonclassicality in continuous-time quantum walks
- Kicked fluxonium with quantum strange attractor
- Quantum thermodynamics, quantum correlations and quantum coherence in accelerating Unruh-DeWitt detectors in both steady and dynamical state
- Emergent Universality Class in Dissipative Quantum Systems with Dipole Moment Conservation
- A Lindblad-Pauli Framework for Coarse-Grained Chaotic Binary-State Dynamics
- Hamiltonian and double-bracket flow formulations of quantum measurements
- Composite N-Q-S: Serial/Parallel Instrument Axioms, Bipartite Order-Effect Bounds, and a Monitored Lindblad Limit
- Reading Qubits with Sequential Weak Measurements: Limits of Information Extraction
- Frozen Gaussian sampling algorithms for simulating Markovian open quantum systems in the semiclassical regime
- Cosmic Lockdown: When Decoherence Saves the Universe from Tunneling
- Unraveling the Quantum Mpemba Effect on Markovian Open Quantum Systems
- Boundary-driven quantum systems near the Zeno limit: steady states and long-time behavior
- Boltzmann to Lindblad: Classical and Quantum Approaches to Out-of-Equilibrium Statistical Mechanics
- Irreducibility of Quantum Markov Semigroups, uniqueness of invariant states and related properties
- Tunable discrete quasi-time crystal from a single drive
- Entropic Uncertainty Relations with Quantum Memory in Accelerated Frames via Unruh-DeWitt Detectors
- Universal relaxation speedup in open quantum systems through transient conditional and unconditional resetting
- Engineer coherent oscillatory modes in Markovian open quantum systems
- Routes of Transport in the Path Integral Lindblad Dynamics through State-to-State Analysis
- Emergent Non-Markovianity in Logical Qubit Dynamics
- Decomposable semigroups on C*-algebras and D-divisible dynamical maps
- Non-equilibrium quantum field theory of the free-electron laser in Keldysh formalism
- Large-scale Lindblad learning from time-series data
- Continuous operations on non-Markovian processes
- Quantum open system description of a hybrid plasmonic cavity
- Instantaneous Sobolev Regularization for Dissipative Bosonic Dynamics
- Dissipative Yao-Lee Spin-Orbital Model: Exact Solvability and PT Symmetry Breaking
- Non-Gaussian Dissipative Quantum Thermometry Beyond Gaussian Bounds
- Beyond Lindblad Dynamics: Rigorous Guarantees for Thermal and Ground State Preservation under System Bath Interactions
- Information dynamics and symmetry breaking in generic monitored ℤ2-symmetric open quantum systems
- Quantum Coulomb drag signatures of Majorana bound states
- Optimal Control of thermally noisy quantum gates in a multilevel system
- Characterizing topology at nonzero temperature: Topological invariants and indicators in the extended SSH model
- Controlling Dissipative Topology Through Floquet Driving: From Transient Diagnostics to Boundary States Isolation
- Localization and Delocalization of Quantum Trajectories in the Liouvillian Spectrum
- Decoherence, einselection, and the quantum origins of the classical
- Attractor Subspace and Decoherence-Free Algebra of Quantum Dynamics
- Quantum transport between finite reservoirs
- Liouvillian topology and non-reciprocal dynamics in open Floquet chains
- Work-minimizing protocols in driven-dissipative quantum systems: An impulse-ansatz approach
- A Fractional Calculus Framework for Open Quantum Dynamics: From Liouville to Lindblad to Memory Kernels
- Quantum decoherence
- Full counting statistics for boundary driven transport in presence of correlated gain and loss channels
- Perfect displacement of a superconducting resonator via fast-forward scaling and its application to high-speed RZZ gates in Kerr-cat qubits
- Improved coherence time of a non-Hermitian qubit in a PT-symmetric Environment
- Uncovering and Circumventing Noise in Quantum Algorithms via Metastability
- Improving Quantum Neural Networks exploration by Noise-Induced Equalization
- Non-Markovian dynamics in nonstationary Gaussian baths
- Fidelity sweet spot in transmon qubit rings under strong connectivity noise
- Application of graph theory in quantum computer science
- Controlling Quantum Transport in a Superconducting Device via Dissipative Baths
- Finite-Bath Open Quantum Systems: Exact Dynamics
- Quantum non-Markovian Hatano-Nelson model
- Quantum Error Correction-like Noise Mitigation for Wave-like Dark Matter Searches with Quantum Sensors
- Evolution towards quasi-equilibrium in nematic liquid crystals studied through decoherence of multi-spin multiple-quantum coherences
- Preserving fermionic statistics for single-particle approximations in microscopic quantum master equations
- Quantum dynamics in lattices in presence of bulk dephasing and a localized source
- Exact and approximate conditions of tabletop reversibility: when is Petz recovery cost-free?
- Model Reduction for Controlled Quantum Markov Dynamics
- Interacting hydrodynamic modes in spinless fermions with dephasing noise
- Non-Markovian quantum trajectories versus master equations: Finite-temperature heat bath
- Eventum Mechanics of Quantum Trajectories: Continual Measurements, Quantum Predictions and Feedback Control
- Supermartingales in Quantum Resources Theories: Where do quantum resources go when you're watching?
- Lindbladian quantization of mechanical systems with nonholonomic constraints
- The Geometry of Quantum Complexity in Open Systems
- Convolutionless Non-Markovian master equations and quantum trajectories: Brownian motion
- Benefits of Open Quantum Systems for Quantum Machine Learning
- Quantum gravity phenomenology at the dawn of the multi-messenger era—A review
- Optimal quantum simulation of open quantum systems
- Nonlinear-response theory for lossy superconducting quantum circuits
- Optimal current-based sensing of phonon temperature using a finite reservoir
- Efficient classical simulation of noisy quantum computation
- Geometric Approach Towards Complete Logarithmic Sobolev Inequalities
- A Lie Theoretic Framework for Controlling Open Quantum Systems
- Collective Motion from Quantum-Inspired Open Dynamics with Self-Perception Coupling: A Bloch Approximation Framework
- Qlustering: Harnessing Network-Based Quantum Transport for Data Clustering
- Measure of quantum Fisher information flow in multi-parameter scenario
- Open harmonic chain without secular approximation
- Quantitative Hypocoercivity and Lifting of Classical and Quantum Dynamics
- Optimising Trotter-Suzuki simulations of Markovian open quantum systems via classical search
- Computing time-dependent reduced models for classical and quantum dynamics
- Universal bound on the Lyapunov spectrum of quantum master equations
- Revealing the quantum nature of memory in non-Markovian dynamics on IBM Quantum
- Quantum Reversibility Meets Classical Reverse Diffusion
- Preserving quantum coherence in thermal noisy systems via qubit frequency modulation
- Singularity-free dynamical invariants-based quantum control
- Role of exceptional points in the dynamics of the Lindblad Sachdev-Ye-Kitaev model
- Open system dynamics in local Lindbladians with chaotic spectra
- Yang-Lee edge singularity and quantum criticality in non-Hermitian PXP model
- Quantum Dynamics, Master Equation and Equilibrium for a Qubit Coupled to a Thermal Boson Field
- Probing Qubit Noise with a Channel-Resolved Post-Markovian Master Equation
- Tensor-Network-Based Unraveling of Non-Markovian Dynamics in Large Spin Chains via the Influence Martingale Approach
- Convergence Analysis of Galerkin Approximations for the Lindblad Master Equation
- Low temperature decoherence dynamics in molecular spin systems using the Lindblad master equation
- Topology from Decoherence
- Background Suppression in Quantum Sensing of Dark Matter via W State Projection
- Non-Hermitian Bethe-Salpeter Equation for Open Systems: Emergence of Exceptional Points in Excitonic Spectra from First Principles
- Quantum memory optimisation using finite-horizon, decoherence time and discounted mean-square performance criteria
- On the modeling of irreversibility by relaxator Liouville dynamics
- Quantum control of Hubbard excitons
- Relaxation control of open quantum systems
- Layer codes as partially self-correcting quantum memories
- The role of entropy production and thermodynamic uncertainty relations in the asymmetric thermalization of open quantum systems
- Information-thermodynamic bounds on precision in interacting quantum systems
- Approaching the scaling limit of transport through lattices with dephasing
- Basis-independent coherence and its distribution in de Sitter spacetime
- A Computational Model for Quantum Measurement
- Quantum jumps and entropy production
- Computing Large Deviations of First-Passage-Time Statistics in Open Quantum Systems: Two Methods
- Computable measures of non-Markovianity for Gaussian free fermion systems
- Coherence restoring in communication line via controlled interaction with environment
- Dual effects of Lamb Shift in Quantum Thermodynamical Systems
- Reconstructing Quantum States and Expectations via Dynamical Tomography
- Quantum reversal: a general theory of coherent quantum absorbers
- A Postquantum Theory of Classical Gravity?
- Resource-efficient universal photonic processor based on time-multiplexed hybrid architectures
- Bridging Quantum Noise and Classical Electrodynamics with Stochastic Methods
- Lecture notes on classical and quantum non-Markovianity
- Dynamically Optimal Unraveling Schemes for Simulating Lindblad Equations
- Quantization of nonlinear non-Hamiltonian systems
- Symmetrization for quantum networks: a continuous-time approach
- Mitigating quantum decoherence via global optimal control
- Numerical implementation of the partial secular approximation and unified master equation in structured open quantum systems
- Quantum theory of friction
- Quantum Stochastic Calculus and Quantum Gaussian Processes
- Simulating monitoring-induced topological phase transitions with small systems
- Training the classification capability of large-scale quantum cellular automata
- Relativistic Path-Integral Origin of the Dirac Equation, Quantum Collapse, Decoherence and Non-Hermitian Phenomena
- Subtleties in the pseudomodes formalism
- Structured Quantum Baths with Memory: A QuTiP Framework for Spectral Diagnostics and Machine Learning Inference
- Purified pseudofermion approach for the exact description of fermionic reservoirs
- Simulation of bilayer Hamiltonians based on monitored quantum trajectories
- Symmetry and Topology of Successive Quantum Feedback Control
- Predicting open quantum dynamics with data-informed quantum-classical dynamics
- Non-Hermitian Physics in Quantum Channels: Pseudo-Hermiticity, Spectrum Measurement and Application to Hamiltonian Parameter Estimation
- Open quantum systems and the grand canonical ensemble
- Thermodynamic coprocessor for linear operations with input-size-independent calculation time based on open quantum system
- Exponential Lindbladian fast forwarding and exponential amplification of certain Gibbs state properties
- Asymptotic Behavior of Random Time-Inhomogeneous Markovian Quantum Dynamics
- Effective approach to open systems with probability currents and the Grothendieck formalism
- Fourier Neural Operators for Time-Periodic Quantum Systems: Learning Floquet Hamiltonians, Observable Dynamics, and Operator Growth
- Quantum Mpemba effect in a four-site Bose-Hubbard model
- Dissipation-Enhanced Localization in a Disorder-Free ℤ2 Lattice Gauge System
- Quantum Mpemba-like effect in Unruh thermalization
- Tunneling of bosonic qubits under local dephasing through microscopic approach
- Flag-based Control of Orbit Dynamics in Quantum Lindblad Systems
- Spontaneous collapse effects on relativistic fermionic matter
- Universal simulation of Markovian quantum dynamics
- Dissipation-Driven Topological Phase Transition in Quantum Open Systems Independent of system Hamiltonian
- Entanglement generation across exceptional points in two-qubit open quantum system -- the role of initial states
- Noise-induced Zeno-like effect in a spin-chain quantum battery
- Measurement-induced resetting in open quantum systems
- Universal Precision Limits in General Open Quantum Systems
- Physical constraints on effective non-Hermitian systems
- Prospects for relic neutrino detection using nuclear spin experiments
- Quantum Process Tomography of a Room-Temperature Alkali-Metal Vapor
- Quantum Mpemba Effect in Dissipative Spin Chains at Criticality
- Full counting statistics and first-passage times in quantum Markovian processes: Ensemble relations, metastability, and fluctuation theorems
- Quasiprobability Thermodynamic Uncertainty Relation
- Charakterizations of the Generators of Positive Semigroups on C*- and von Neumann Algebras
- Dissipation-Induced Steady States in Topological Superconductors: Mechanisms and Design Principles
- Thermalization of Bottomonium in the Quark-Gluon Plasma
- Quantum Otto Heat Engine based on the Dicke-Stark Model under Infinite-Time and Finite-Time Thermodynamic Frameworks
- Superradiant Phase Transition and Statistical Properties in Dicke-Stark Model
- Emergence of distinct relaxation behaviour and Quantum Regression Theorem in the Ultra-strong Coupling Limit
- Universally Robust Control of Open Quantum Systems
- Nonequilibrium steady state in Lindblad dynamics for infinite quantum spin systems
- Quantum description of Einstein’s Brownian motion
- Dissipative Dynamics and Symmetry Breaking in Bosonic Sachdev-Ye-Kitaev Lindbladian
- Nonequilibrium Phase Transitions in Large N Matrix Quantum Mechanics
- Optimizing quantum transport via the quantum Doob transform
- Path-Integral Formulation of Bosonic Markovian Open Quantum Dynamics with Monte Carlo stochastic trajectories using the Glauber-Sudarshan P, Wigner, and Husimi Q Functions and Hybrids
- Work extraction from long-lived quantum coherence of a three-level system
- Floquet theory and applications in open quantum and classical systems
- Biorthogonal Neural Network Approach to Two-Dimensional Non-Hermitian Systems
- Spontaneous emission as a bridge from Lindbladian to nonreciprocal reservoirs
- Efficient and simple Gibbs state preparation of the 2D toric code via duality to classical Ising chains
- Non-Commutative Markov Processes in Free Group Factors, Related to Berezin's Quantization and Automorphic Forms
- Heisenberg-Langevin Formalism For Open Circuit-QED Systems
- Reducing Circuit Depth in Lindblad Simulation via Step-Size Extrapolation
- On the emergence of quantum memory in non-Markovian dynamics
Related