PERFECT, EFFICIENT, STATE TRANSFER AND ITS APPLICATION AS A CONSTRUCTIVE TOOL

2009/03/31 by Alastair Kay, ALASTAIR KAY · 4 citations
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Computation #Computer science #Constructive #Hamiltonian (control theory) #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum information science #Quantum mechanics #Spins #State (computer science) #Topology (electrical circuits) #quant-ph

paper · pdf · doi:10.1142/s0219749910006514

published as Int. J. Quantum Inf. 8, 641 (2010) · 18 pages, 6 figures. Although mainly a review, this does contain some minor new results. v2: minor improvements. v3: journal version (to appear in Int. J. Quant. Inform.)

crossref issued 2010/06/01 · crossref published 2010/06/01 · crossref published-print 2010/06/01 · openalex publication_date 2010/06/01 · arxiv created 2010/06/16 · crossref created 2010/07/28 · arxiv updated 2010/08/18 · crossref published-online 2011/11/21 · openalex created_date 2016/06/24 · crossref deposited 2019/08/07 · openalex updated_date 2026/08/05 · crossref indexed 2026/08/06

Abstract

We review the subject of perfect state transfer — how one designs the (fixed) interactions of a chain of spins so that a quantum state, initially inserted on one end of the chain, is perfectly transferred to the opposite end in a fixed time. The perfect state transfer systems are then used as a constructive tool to design Hamiltonian implementations of other primitive protocols such as entanglement generation and signal amplification in measurements, before showing that, in fact, universal quantum computation can be implemented in this way.

Citations

• Freezing distributed entanglement in spin chains
• Mirror Inversion of Quantum States in Linear Registers
• From perfect to fractal transmission in spin chains
• Manipulating quantum information by propagation
• Quantum communication through spin chain dynamics: an introductory overview
• Reversible logic and quantum computers
• Global controllability with a single local actuator
• Geometric effects and computation in spin networks
• Scalable quantum computation via local control of only two qubits
• Computational power of symmetric Hamiltonians
• Role of rotational invariance in the properties of Hamiltonians
• Quantum speed limit for perfect state transfer in one dimension
• Decoherence effects on the quantum spin channels
• Universal quantum interfaces
• Perfect transfer of arbitrary states in quantum spin networks
• Efficient quantum state transfer in spin chains via adiabatic passage
• Electron wavepacket propagation in a chain of coupled quantum dots
• Heisenberg chains cannot mirror a state
• Two soluble models of an antiferromagnetic chain
• Propagation of quantum information through a spin system
• The maximum speed of dynamical evolution

Cited by

• Two dimensional inhomogeneous classical systems at criticality
• Transfer of quantum-enhanced information through a many-body system
• Generation of quantum states by the dynamics of spin chains: Analytical solution
• Multi-fractal geometry of finite networks of spins: Nonequilibrium dynamics beyond thermalization and many-body-localization
• Exact fractional revival in spin chains

Related

• Perfect pure quantum state transfer via state restoring and ancilla measurement
• Encoded State Transfer: Beyond the Uniform Chain
• Perfect quantum state transfer with randomly coupled quantum chains
• Transfers of entanglement qudit states in quantum networks
• Optimising Perfect Quantum State Transfer for Timing Insensitivity