Perfect state transfer in quantum spin networks

Abstract

We propose a class of qubit networks that admit perfect transfer of any quantum state in a fixed period of time. Unlike many other schemes for quantum computation and communication, these networks do not require qubit couplings to be switched on and off. When restricted to N-qubit spin networks of identical qubit couplings, we show that 2 log_3 N is the maximal perfect communication distance for hypercube geometries. Moreover, if one allows fixed but different couplings between the qubits then perfect state transfer can be achieved over arbitrarily long distances in a linear chain.

4 pages, 1 figure

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• Entanglement transfer via Chiral Quantum Walk on a Triangular Chain
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• A dynamical model for Positive-Operator Valued Measures
• Mesoscopic Spin Systems as Quantum Entanglers
• A bispectral q-hypergeometric basis for a class of quantum integrable models
• Perfect State Transfer on Weighted Graphs of the Johnson Scheme
• Breakdown of local convertibility through Majorana modes in a quantum quench
• Quantum walk processes in quantum devices
• Inhomogeneous Quantum Quenches of Conformal Field Theory with Boundaries
• Perfect State Transfer in a Spin Chain without Mirror Symmetry
• Short time behavior of continuous time quantum walks on graphs
• Classical and quantum walks on paths associated with exceptional Krawtchouk polynomials
• Geometric phases in dressed state quantum computation
• Quantum Dynamics of Spin Wave Propagation Through Domain Walls
• Polarization transitions in interacting ring 1D arrays
• Quantum gates by resonantly driving many-body eigenstates, with a focus on Polychronakos' model
• Pretty good state transfer on double stars
• Quantum-state transfer on spin-chain channels with random imperfection
• Transfer of high-dimensional quantum state through an XXZ-Heisenberg quantum spin chain
• Perfect quantum state transfer of hard-core bosons on weighted path graphs
• Quasi-Perfect State Transfer in Spin Chains via Parametrization of On-Site Energies
• How to Suppress Dark States in Quantum Networks and Bio-Engineered Structures
• Enhancing quantum state transfer efficiency in binary-tree spin networks by partially collapsing measurements
• Cooling ultracold bosons in optical lattices by spectral transform
• Optimally controlled non-adiabatic quantum state transmission in the presence of quantum noise
• Quantum state transfer using 1D Heisenberg Hamiltonian on quasi-1D lattices
• Quantum states experimentally achieving high-fidelity transmission over a spin chain
• Calculating response functions of coupled oscillators using quantum phase estimation
• Effects of impurity on fidelity of quantum state transfer via spin channels
• Sudden switch of generalized Lieb-Robinson velocity in a transverse field Ising spin chain
• Eigenmodes of latent-symmetric quantum photonic networks
• State Transfer in Latent-Symmetric Networks
• Generating GHZ state in 2m-qubit spin network
• Some Aspects of Remote State Restoring in State Transfer Governed by XXZ-Hamiltonian
• M-neighbor approximation in one-qubit state transfer along zigzag and alternating spin-1/2 chains
• Generation and Robustness of Quantum Entanglement in Spin Graphs
• Non-Markovianity over ensemble averages in quantum complex networks
• Quantum State Transfer through Noisy Quantum Cellular Automata
• Algorithm for Finding the Maximum Clique Based on Continuous Time Quantum Walk
• Super-quantum discord in ferromagnetic and antiferromagnetic materials
• A Chain-Boson Model for the Decoherence and Relaxation of a Few Coupled SQUIDs in a Phonon Bath
• Noise reducing encoding strategies for spin chains
• Measurement enhances long-distance Entanglement generation in spin chains with dissipative processes
• Interference of the signal from a local dynamical process with the quantum state propagation in spin chains
• Co-evolution of networks and quantum dynamics: a generalization of preferential attachment
• Nearest-neighbor approximation in one-excitation state evolution along spin-1/2 chain governed by XX-Hamiltonian
• Perfect transfer of arbitrary continuous variable states across optical waveguide lattices
• Programmable Quantum State Transfer
• Remotely detecting the signal of a local decohering process in spin chains
• Quantum nonlocality of Heisenberg XX model with Site-dependent Coupling Strength
• One-dimensional Continuous-Time Quantum Markov Chains: qubit probabilities and measures
• Remote control of quantum correlations in two-qubit receiver via three-qubit sender
• Quantum recurrence and fractional dynamic localization in ac-driven perfect state transfer Hamiltonians
• Scalable Quantum Spin Networks from Unitary Construction
• Comparison of entangling protocols in ABC-type spin chains
• Quantum energy transfer between nonlinearly-coupled bosonic bath and a fermionic chain: an exactly solvable model
• Creating and preserving multi-partite entanglement with spin chains
• Bounds on probability of state transfer with respect to readout time and edge weight
• Effective simulation of state distribution in qubit chains
• Bypassing state initialization in Hamiltonian tomography on spin-chains
• Perfect state transfer, graph products and equitable partitions
• Perfect State Transfer in Laplacian Quantum Walk
• Incoherent-mediator for quantum state transfer in the ultrastrong coupling regime
• Fast and efficient long-distance quantum state transfer in long-range spin-$\frac{1}{2}$ models
• Adiabatic state distribution using anti-ferromagnetic spin systems
• Perfect Quantum State Transfer in Glauber-Fock Cavity Array
• Spin and electronic excitations in $4f$ atomic chains on Au(111) substrates
• Non-Markovianity in the time evolution of open quantum systems assessed by means of quantum state distance
• Pretty Good State Transfer and Minimal Polynomials
• Bypassing state initialisation in perfect state transfer protocols on spin-chains
• High-Field NMR Characterization and Indirect $J$-Spectroscopy of a Nuclear Spin Chain [U-${}^{13}$C,${}^{15}$N]-butyronitrile
• Search and state transfer between hubs by quantum walks
• One-excitation spin dynamics in homogeneous closed chain governed by XX-Hamiltonian
• Large effects of boundaries on spin amplification in spin chains
• Quasiconservation Laws and Suppressed Transport in Weakly Interacting Localized Models
• Dissipation-assisted quantum correlations in coupled qubits
• The 3-dimensional cube is the only periodic, connected cubic graph with perfect state transfer
• Perfect state transfer on quotient graphs
• Multiphoton controllable transport between remote resonators
• Quantum correlations between distant qubits conveyed by large-$S$ spin chains
• A $q$-version of the relation between the hypercube, the Krawtchouk chain and Dicke states
• Quantum Fractional Revival on Graphs
• Perfect Wave Transfer in Continuous Quantum Systems
• Experimental and theoretical investigations of quantum state transfer and decoherence processes in quasi-one-dimensional systems in multiple-quantum NMR experiments
• Renormalization-group investigation of the S=1 random antiferromagnetic Heisenberg Chain
• Laplacian pretty good fractional revival
• Perfect state transfer using Markovian quantum walk
• Quantum state transfer in atom-cavity systems with uncolored Cayley interacting networks
• Confined bulk states as a long-range sensor for impurities and a transfer channel for quantum information
• Information Transfer Fidelity in Spin Networks and Ring-based Quantum Routers
• Perfect State Transfer on Signed Graphs
• Suppressing decoherence in quantum state transfer with unitary operations
• Open and closed spin chains as multiprocessor wires: optimal engineering and reachability
• Environment-Mediated Quantum State Transfer
• Algebraic discrete quantum harmonic oscillator with dynamic resolution scaling
• Emergent mirror symmetry in the optimization of the central-spin quantum battery
• Spatial search for a general multi-vertex state on graph by continuous-time quantum walks
• Coherence restoring in communication line via controlled interaction with environment
• Reshaping coupled bosonic networks: A bipartite-graph framework for optimal quantum excitation transfer
• Enhancement of quantum transport efficiency in a noisy spin channel
• Control cost and quantum speed limit time in controlled almost exact state transmission in open systems
• Comparative analysis of robust entanglement generation in engineered XX spin chains
• From Bell Products to Greenberger-Horne-Zeilinger states: Quantum Memories via emergent Hamiltonians
• Memory effects in repeated uses of quantum channels
• Quantum state transfer on Q-graphs
• Optical Tautochrone and Squeezing Dynamics in Nonuniform Lattices
• The signless Laplacian state transfer in Q-graph
• Quantum Effects In Low Temperature Bosonic Systems
• Influence of intrinsic decoherence on entanglement teleportation via a Heisenberg XYZ model with different Dzyaloshinskii-Moriya interaction
• Equivalent Laplacian and Adjacency Quantum Walks on Irregular Graphs
• Interaction between hopping and static spins in a discrete network
• Which weighted circulant networks have perfect state transfer?
• Effect of Emitters on Quantum State Transfer in Coupled Cavity Arrays
• Perfect quantum state transfer in weighted paths with potentials (loops) using orthogonal polynomials
• Energy transport and optimal design of noisy Platonic quantum networks
• Teleportation via spin-1/2 chain in solid-state quantum architecture
• Incorporating Encoding into Quantum System Design
• Experimental realization of state transfer by quantum walks with two coins
• Anomalous Non-Hermitian Topological Anderson Insulator
• Quantum state transfer and periodicity in discrete-time quantum walks under non--Markovian dephasing noise
• Transforming spin chains with a continuous driving field
• State transfer analysis for linear spin chains with non-uniform on-site energies
• Effective non-local parity-dependent couplings in qubit chains
• Perfect edge state transfer on cubelike graphs
• Universality of the fully connected vertex in Laplacian continuous-time quantum walk problems
• Information Nano-Technologies: Transition from Classical to Quantum
• Remote entanglement generation via enhanced quantum state transfer
• Quantum state transfer and maximal entanglement between distant qubits using a minimal quasicrystal pump
• Modeling Three and Four Coupled Phase Qubits
• Spectral analysis of three-state quantum walks with general coin matrices
• Quantum Fourier Transform in Oscillating Modes
• Waveguide QED toolboxes for universal quantum matter
• Entanglement of free-fermion systems, signal processing and algebraic combinatorics
• Perfect state transfer in NEPS of complete graphs
• A note on perfect quantum state transfers on trees
• Hamiltonian Engineering in Quantum Spin Networks
• Transfer of quantum-enhanced information through a many-body system