Quantum Communication Through an Unmodulated Spin Chain

Abstract

We propose a scheme for using an unmodulated and unmeasured spin-chain as a channel for short distance quantum communications. The state to be transmitted is placed on one spin of the chain and received later on a distant spin with some fidelity. We first obtain simple expressions for the fidelity of quantum state transfer and the amount of entanglement sharable between any two sites of an arbitrary Heisenberg ferromagnet using our scheme. We then apply this to the realizable case of an open ended chain with nearest neighbor interactions. The fidelity of quantum state transfer is obtained as an inverse discrete cosine transform and as a Bessel function series. We find that in a reasonable time, a qubit can be directly transmitted with better than classical fidelity across the full length of chains of up to 80 spins. Moreover, the spin-chain channel allows distillable entanglement to be shared over arbitrarily large distances.

Much improved version

References in corpus (3)

• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• Quantum Computing with an 'Always On' Heisenberg Interaction
• Quantum computation with un-tunable couplings

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• Quantum correlations in Ising-XYZ diamond chain structure under an external magnetic field
• Quantum-capacity bounds in spin-network communication channels
• Impurity Entanglement in the $J-J_2-\delta$ Quantum Spin Chain
• Exact dynamics of XX central spin models
• General Quantum State Swap: an XY model analysis
• Competing long-range interactions and spin vector chirality in spin-chains
• State-Transfer Simulation in Integrated Waveguide Circuits
• Quantum Walk Topology and Spontaneous Parametric Down Conversion
• Emergence of entanglement with temperature and time in factorization-surface states
• Quantum transport and spin dynamics on shearless tori
• An improved kinetic Monte Carlo model for computational and analytical investigations of the magnetic properties of finite-size atomic chains
• An impurity-induced gap system as a quantum data bus for quantum state transfer
• Time independent quantum circuits with local interactions
• Electron spins interaction in the spin-Peierls phase of the organic spin chain (o -DMTTF) 2 X (X = Cl, Br, I)
• Continuous dynamical decoupling of spin chains: modulating the spin-environment and spin-spin interactions
• Quantum walk on a graph of spins: magnetism and entanglement
• Controlling quantum state transfer in spin chain with the confined field
• Entanglement oscillations in open Heisenberg chains
• Quench Induced Growth of Distant Entanglement from Product and Locally Entangled States in Spin Chains
• Entangled States are Harder to Transfer than Product States
• Flat-band quantum communication induced by disorder
• Optimal remote restoring of quantum states in communication lines via local magnetic field
• Selective dynamical decoupling for quantum state transfer
• Concurrence in Disordered Systems
• A New Method for Multi-Bit and Qudit Transfer Based on Commensurate Waveguide Arrays
• Emulating quantum state transfer through a spin-1 chain on a 1D lattice of superconducting qutrits
• Computation of local exchange coefficients in strongly interacting one-dimensional few-body systems: local density approximation and exact results
• Perfect state transfer on hypercubes and its implementation using superconducting qubits
• Time invariant $\mathcal{P}\mathcal{T}$-product and phase locking in $\mathcal{P}\mathcal{T}$-symmetric lattice models
• 1-d Ising model using Kronecker sum and Kronecker product
• Tensor-network approach to compute genuine multisite entanglement in infinite quantum spin chains
• A general algorithm for manipulating non-linear and linear entanglement witnesses by using exact convex optimization
• Ergotopy transport in a one dimensional spin chain
• Communication Through a Quantum Link
• Robust and Fast Quantum State Transfer on Superconducting Circuits
• Infinite qubit rings with maximal nearest neighbor entanglement: the Bethe ansatz solution
• On state transfer in Cayley graphs for abelian groups
• Memory effects in quantum dynamics modelled by quantum renewal processes
• Temperature-dependent remote control of polarization and coherence intensity with pure sender's initial state
• Distributed quantum information processing via single atom driving
• Exact dynamics of concurrence-based entanglement in a system of four spin-1/2 particles on a triangular ladder structure
• Massive Quantum Memories by Periodically Inverted Dynamic Evolutions
• Entanglement Distribution in Star Network Based on Spin Chain in Diamond
• Exact generation of quantum states by the dynamics of spin chains
• Perfect routing of quantum information in regular cavity QED networks
• Strongly cospectral vertices in normal Cayley graphs
• Conditional phase gate and quantum state transfer via off-resonant quantum Zeno dynamics
• Surface Entanglement in Quantum Spin Networks
• Angular momentum transport with twisted exciton wave packets
• Long-distance Entanglement generation by Local Rotational Protocols in spin chains
• Optimal transfer of an unknown state via a bipartite operation
• Entanglement transfer via Chiral Quantum Walk on a Triangular Chain
• Nuclear Numerical Range and Quantum Error Correction Codes for non-unitary noise models
• Achievable Qubit Rates for Quantum Information Wires
• Entanglement and the Interplay between Staggered Fields and Couplings
• Guided magnon transport in spin chains: transport speed and correcting for disorder
• Duplex quantum communication through a spin chain
• Robust control of long distance entanglement in disordered spin chains
• Nearly optimal time-independent reversal of a spin chain
• Noise effects in perfect transmission of quantum states
• An Important Properties of Entanglement: Pairwise Entanglement can Only be Transferred by Entangled Pair
• Time optimal quantum state transfer in a fully-connected quantum computer
• Quantum walks and the size of the graph
• Quantum Corralling
• The effects of thermal and correlated noise on magnons in a quantum ferromagnet
• Topological Spin Textures Enabling Quantum Transmission
• Quantum walk state transfer on a hypercube
• Quantum state transfer in a q-deformed chain
• Non-classical correlations in a class of spin chains with long-range interactions and exactly solvable ground states
• State transfer in an inhomogeneous spin chain
• Unitary Design of Quantum Spin Networks for Robust Routing, Entanglement Generation, and Phase Sensing
• Dynamics of a tight-binding ring threaded by time-periodic magnetic flux
• Topological state transfers in cavity-magnon system
• Noise to lubricate qubit transfer in a spin network
• Perfect Function Transfer in two- and three- dimensions without initialization
• Sensing multiatom networks in cavities via photon-induced excitation resonance
• Unifying quantum spatial search, state transfer and uniform sampling on graphs: simple and exact
• Optimized control for high-fidelity state transmission in open systems
• Quantifying Entanglement in Cluster States Built with Error-Prone Interactions
• Information scrambling and redistribution of quantum correlations through dynamical evolution in spin chains
• Entanglement dynamics and fractional quantum state transport in the spin-$\frac{1}{2}$ triangular plaquette
• An Infinite Family of Circulant Graphs with Perfect State Transfer in Discrete Quantum Walks
• Co-Processors for Quantum Devices
• Quasi-Perfect State Transfer in Spin Chains via Parametrization of On-Site Energies
• Spectroscopy and spin dynamics for strongly interacting few spinor bosons in one-dimensional traps
• A Complete Characterization of Pretty Good State Transfer on Paths
• Improving the query complexity of quantum spatial search in two dimensions
• Correlation transfer in large-spin chains
• Perfect State Transfer in a Spin Chain without Mirror Symmetry
• Short time behavior of continuous time quantum walks on graphs
• Transfer of high-dimensional quantum state through an XXZ-Heisenberg quantum spin chain
• Entanglement balance of quantum $(e,2e)$ scattering processes
• Mesoscopic Spin Systems as Quantum Entanglers
• Perfect transfer of coherent state-based qubits via coupled cavities
• Spin dynamics in finite cyclic XY model
• High-temperature quantum coherence of spinons in a rare-earth spin chain
• Geometric phases in dressed state quantum computation
• Breakdown of local convertibility through Majorana modes in a quantum quench
• Quantum spin chains and random matrix theory
• Directed quantum communication
• Where to quantum walk
• Quantum Dynamics of Spin Wave Propagation Through Domain Walls
• Quantum-state transfer on spin-chain channels with random imperfection
• An Ideal Channel of Long Distance Entanglement in Spin Systems
• Relation between phase space coverage and entanglement for spin-1/2 systems
• Two-channel spin-chain communication line and simple quantum gates
• M-neighbor approximation in one-qubit state transfer along zigzag and alternating spin-1/2 chains
• Eigenmodes of latent-symmetric quantum photonic networks
• Quantum state transfer using 1D Heisenberg Hamiltonian on quasi-1D lattices
• Locality for quantum systems on graphs depends on the number field
• Effects of impurity on fidelity of quantum state transfer via spin channels
• Propagation of local excitations through strongly correlated quantum chains
• Information-theoretic aspects of the generalized amplitude damping channel
• Nonequilibrium many-body dynamics along a dissipative Hubbard chain: Symmetries and Quantum Monte Carlo simulations
• Two-excitation routing via linear quantum channels
• Super-quantum discord in ferromagnetic and antiferromagnetic materials
• Enhancing quantum state transfer efficiency in binary-tree spin networks by partially collapsing measurements
• Noise reducing encoding strategies for spin chains
• Universal control of superexchange in linear triple quantum dots with an empty mediator
• Generating GHZ state in 2m-qubit spin network
• Scalable Structure For Chiral Quantum Routing
• Quantum State Transfer through Noisy Quantum Cellular Automata
• Quantum states experimentally achieving high-fidelity transmission over a spin chain
• Some Aspects of Remote State Restoring in State Transfer Governed by XXZ-Hamiltonian
• Sudden switch of generalized Lieb-Robinson velocity in a transverse field Ising spin chain
• State Transfer in Latent-Symmetric Networks
• Effective simulation of state distribution in qubit chains
• Pairwise Entanglement and Geometric Phase in $d=2,3$-Dimensional Free-Fermion Lattice Systems
• Perfect transfer of arbitrary continuous variable states across optical waveguide lattices
• Comparison of entangling protocols in ABC-type spin chains
• Tunable quantum spin chain with three-body interactions
• Measurement enhances long-distance Entanglement generation in spin chains with dissipative processes
• Enhancing the Charging Performance of Many-Body Quantum Batteries through Landau-Zener Driving
• Geometric Entanglement in Valance-Bond-Solid state
• Dimerized Decomposition of Quantum Evolution on an Arbitrary Graph
• Incoherent-mediator for quantum state transfer in the ultrastrong coupling regime
• Nonclassical resource for continuous variable telecloning with non-Gaussian advantage
• Perfect state transfer, graph products and equitable partitions
• Ab-Initio Approach to Many-Body Quantum Spin Dynamics
• Investigation of Thermodynamic Properties of Cu(NH3)4SO4.H2O, a Heisenberg Spin Chain Compound
• Adiabatic state distribution using anti-ferromagnetic spin systems
• Invariance of success probability in Grover's quantum search under local noise with memory
• Estimating entanglement in 2D Heisenberg model in the strong rung-coupling limit
• Laplacian $\{-1,0,1\}$- and $\{-1,1\}$-diagonalizable graphs
• Perfect Quantum State Transfer in Glauber-Fock Cavity Array
• Bypassing state initialisation in perfect state transfer protocols on spin-chains
• Non-Markovianity in the time evolution of open quantum systems assessed by means of quantum state distance
• Dynamics of entanglement of bosonic modes on symmetric graphs
• Perfect State Transfer in Laplacian Quantum Walk
• Optimal quantum transport on a ring via locally monitored chiral quantum walks
• Faithful quantum state transfer between weakly coupled qubits
• Spin and electronic excitations in $4f$ atomic chains on Au(111) substrates
• Unveiling the Markovian to non-Markovian transition with quantum collision models
• Redundant string symmetry-based error correction: Demonstrations on quantum devices
• Remotely detecting the signal of a local decohering process in spin chains
• Bounding and Estimating the Classical Information Rate of Quantum Channels with Memory
• Approximate quantum fractional revival in paths and cycles
• Bounds on probability of state transfer with respect to readout time and edge weight
• Fast and efficient long-distance quantum state transfer in long-range spin-$\frac{1}{2}$ models
• Remote control of quantum correlations in two-qubit receiver via three-qubit sender
• Creating and preserving multi-partite entanglement with spin chains
• Pretty Good State Transfer and Minimal Polynomials
• Co-evolution of networks and quantum dynamics: a generalization of preferential attachment
• Decoherence of one-dimensional flying qubits due to their cross-talk and imperfections
• Laplacian Fractional Revival on Graphs
• Interference of the signal from a local dynamical process with the quantum state propagation in spin chains
• Distribution of entanglement with variable range interactions
• Ballistic Entanglement Cloud after a Boundary Quench
• High-Field NMR Characterization and Indirect $J$-Spectroscopy of a Nuclear Spin Chain [U-${}^{13}$C,${}^{15}$N]-butyronitrile
• New classes of spin chains from $(S{\hat{O}}_{(q)}(N)$, $S{\hat{p}}_{(q)}(N))$ Temperley-Lieb algebras: Data transmission and (q, N) parametrized entanglement entropies
• Peierls Distortion and Quantum Solitons
• State Transfer on Graphs
• On a novel iterative method to compute polynomial approximations to Bessel functions of the first kind and its connection to the solution of fractional diffusion/diffusion-wave problems
• Quantum Fractional Revival on Graphs
• Decoherence effect on quantum correlation and entanglement in a two-qubit spin chain
• Quantum correlations between distant qubits conveyed by large-$S$ spin chains
• The expressive power of quantum walks in terms of language acceptance
• Polaron formation in a spin chain by measurement-induced imaginary Zeeman field
• Confined bulk states as a long-range sensor for impurities and a transfer channel for quantum information
• Formal languages analysed by quantum walks
• Perfect State Transfer on Signed Graphs
• Large effects of boundaries on spin amplification in spin chains
• Fractional Revival and Association Schemes
• Thermal decoherence of long-distance entanglement in spin-1 chains
• Information Transfer Fidelity in Spin Networks and Ring-based Quantum Routers
• Landau levels for discrete-time quantum walks in artificial magnetic fields
• Applicability of coupling strength estimation for linear chains of restricted access
• Perfect State Transfer in Weighted Cubelike Graphs
• Environment-Mediated Quantum State Transfer
• State Transfer in Noisy Modular Quantum Networks
• Perfect Wave Transfer in Continuous Quantum Systems
• Multiphoton controllable transport between remote resonators
• Dissipation-assisted quantum correlations in coupled qubits
• Suppressing decoherence in quantum state transfer with unitary operations
• One-excitation spin dynamics in homogeneous closed chain governed by XX-Hamiltonian
• Open and closed spin chains as multiprocessor wires: optimal engineering and reachability
• Search and state transfer between hubs by quantum walks
• Perfect state transfer using Markovian quantum walk
• Logarithmic growth of peripheral entanglement concentrated via noisy measurements in a star network of spins
• Laplacian pretty good fractional revival
• Perfect state transfer on quotient graphs
• Perfect edge state transfer on cubelike graphs
• Incorporating Encoding into Quantum System Design
• Quantum teleportation by utilizing helical spin chains for sharing entanglement
• Hamiltonian Engineering in Quantum Spin Networks
• Perfect state transfer in NEPS of complete graphs
• Transition in Splitting Probabilities of Quantum Walks
• The Entanglement Level and the Detection of Quantum Data Transfer Correctness in Short Qutrit Spin Chains
• Excitation and Entanglement Transfer Near Quantum Critical Points
• Routing a quantum state in a bio-inspired network
• Perfect quantum state transfer in weighted paths with potentials (loops) using orthogonal polynomials
• Expediting quantum state transfer through the long-range extended XY model
• Comparative analysis of robust entanglement generation in engineered XX spin chains
• State transfer analysis for linear spin chains with non-uniform on-site energies
• Experimental realization of state transfer by quantum walks with two coins
• Waveguide QED toolboxes for universal quantum matter
• State Transfer in Complex Quantum Walks
• Universality in perfect state transfer
• Interaction between hopping and static spins in a discrete network
• Coherence restoring in communication line via controlled interaction with environment
• Reshaping coupled bosonic networks: A bipartite-graph framework for optimal quantum excitation transfer
• Information Nano-Technologies: Transition from Classical to Quantum
• Uniform mixing on integral abelian Cayley graph
• Explicit Formulas for Estimating Trace of Reduced Density Matrix Powers via Single-Circuit Measurement Probabilities
• A Theorem of Joseph-Alfred Serret and its Relation to Perfect Quantum State Transfer
• Local control of remote entanglement
• Transfer of quantum-enhanced information through a many-body system
• A Note on Eigenvalues of Cayley Graphs
• Quantum Effects In Low Temperature Bosonic Systems
• Barenco gate implementation using driven two- and three-qubit spin chains
• Scalable phonon-laser arrays with self-organized synchronization
• Propagation in quantum walks and relativistic diffusions
• Decoherence dynamics of entangled quantum states in the $XXX$ central spin model
• Odd-periodic Grover walk
• Dissipative dynamics of a spin system with three-body interaction
• Quantum state transfer on Q-graphs
• Memory effects in repeated uses of quantum channels
• The signless Laplacian state transfer in Q-graph
• Quantum state transfer and periodicity in discrete-time quantum walks under non--Markovian dephasing noise
• Effect of Emitters on Quantum State Transfer in Coupled Cavity Arrays
• Dense Coding Capacity in Correlated Noisy Channels with Weak Measurement
• Control cost and quantum speed limit time in controlled almost exact state transmission in open systems
• Transfer and routing of Gaussian states through quantum complex networks with and without community structure
• Exact solution of a family of staggered Heisenberg chains with conclusive pretty good quantum state transfer
• Quantum state transfer and maximal entanglement between distant qubits using a minimal quasicrystal pump
• Scaling of Computational Order Parameters in Rydberg Atom Graph States
• Indirect Controllability of Quantum Systems; A Study of Two Interacting Quantum Bits