Entanglement dynamics and quantum state transport in spin chains
arXiv:quant-ph/0307135 · doi:10.1103/PhysRevA.69.034304
Abstract
We study the dynamics of a Heisenberg-XY spin chain with an unknown state coded into one qubit or a pair of entangled qubits, with the rest of the spins being in a polarized state. The time evolution involves magnon excitations, and through them the entanglement is transported across the channel. For a large number of qubits, explicit formulae for the concurrences, measures for two-qubit entanglements, and the fidelity for recovering the state some distance away are calculated as functions of time. Initial states with an entangled pair of qubits show better fidelity, which takes its first maximum value at earlier times, compared to initial states with no entangled pair. In particular initial states with a pair of qubits in an unknown state (alpha up-up + beta down-down) are best suited for quantum state transport.
4 pages, 3 figures
References in corpus (3)
Cited by in corpus (117)
- Perfect state transfer in quantum spin networks
- Quantum Communication through Spin Chain Dynamics: an Introductory Overview
- Microscopic observation of magnon bound states and their dynamics
- Conclusive and arbitrarily perfect quantum state transfer using parallel spin chain channels
- The Propagation of Quantum Information Through a Spin System
- Unmodulated spin chains as universal quantum wires
- Quantum discord and its allies: a review
- Spin Chains as Perfect Quantum State Mirrors
- Perfect State Transfer, Effective Gates and Entanglement Generation in Engineered Bosonic and Fermionic Networks
- Quantum state transfer via the ferromagnetic chain in a spatially modulated field
- Perfect quantum state transfer with randomly coupled quantum chains
- Quantum state transmission via a spin ladder as a robust data bus
- Experimental Observation of Bethe Strings
- Communication at the quantum speed limit along a spin chain
- Globally controlled quantum wires for perfect qubit transport, mirroring and computing
- Quantum Phase Transition of Ground-state Entanglement in a Heisenberg Spin Chain Simulated in an NMR Quantum Computer
- Spatially Resolved Detection of a Spin-Entanglement Wave in a Bose-Hubbard Chain
- Solid-State Quantum Communication With Josephson Arrays
- Robustness of spin-coupling distributions for perfect quantum state transfer
- Multiuser quantum communication networks
- Perfect state transfer in networks of arbitrary topology and coupling configuration
- Efficient and perfect state transfer in quantum chains
- Multipartite entanglement in quantum spin chains
- Quantum cloning in spin networks
- Decoherence effects on the quantum spin channels
- Efficient quantum state transfer in spin chains via adiabatic passage
- Preparation and Entanglement Purification of Qubits through Zeno-like Measurements
- Enhancement of entanglement transfer in a spin chain by phase shift-control
- Quantum state transfer and time-dependent disorder in Quantum Chains
- Quantum State Transfer in Spin-1 Chains
- Universal destabilization and slowing of spin transfer functions by a bath of spins
- Boundary and impurity effects on entanglement of Heisenberg chains
- Dynamical phase transitions and temperature induced quantum correlations in an infinite spin chain
- Perfect state transfer over distance-regular spin networks
- Transfer of d-Level quantum states through spin chains by random swapping
- Sudden death and long-lived entanglement of two three-level trapped ions
- Entanglement localization by a single defect in a spin chain
- All Possible Coupling Schemes in XY Spin Chains for Perfect State Transfer
- Qubit state transfer via discrete-time quantum walks
- Dynamics of entanglement in a one-dimensional Ising chain
- Quadrupolar magnetic excitations in an isotropic spin-1 antiferromagnet
- Quantum Communication Through a Spin-Ring with Twisted Boundary Conditions
- Cloning transformations in spin networks without external control
- Quantum entanglement dynamics and decoherence wave in spin chains at finite temperatures
- Superballistic Diffusion of Entanglement in Disordered Spin Chains
- Transport of Entanglement Through a Heisenberg-XY Spin Chain
- Entanglement properties in (1/2,1) mixed-spin Heisenberg systems
- Coherent ground-state transport of neutral atoms
- Robust and Reliable Transfer of a Quantum State Through a Spin Chain
- Mesoscopic continuous and discrete channels for quantum information transfer
- Rabi oscillations, decoherence, and disentanglement in a qubit-spin-bath system: exact dynamics
- Wave packet transmission of Bloch electron manipulated by magnetic field
- Observation of 4- and 6-magnon bound-states in the spin-anisotropic frustrated antiferromagnet FeI
- Variance squeezing and entanglement of the XX central spin model
- Static and dynamical quantum correlations in phases of an alternating field XY model
- Protocol using kicked Ising dynamics for generating states with maximal multipartite entanglement
- Detecting two-site spin-entanglement in many-body systems with local particle-number fluctuations
- Optimal quantum cloning via spin networks
- A coherent router for quantum networks
- Almost perfect transport of an entangled two-qubit state through a spin chain
- Quantum communication through anisotropic Heisenberg XY spin chains
- Representing multiqubit unitary evolutions: spin coherences and infinitesimal coherences
- Quantum communication via a continuously monitored dual spin chain
- Analytical results for entanglement in the five-qubit anisotropic Heisenberg model
- Experimental observation of repulsively bound magnons
- Quantum counterpart of Measure synchronization: A study on a pair of Harper systems
- Spin Decoherence from Hamiltonian dynamics in Quantum Dots
- Direct versus measurement assisted bipartite entanglement in multi-qubit systems and their dynamical generation in spin systems
- Controlled dynamics of qubits in the presence of decoherence
- Entanglement propagation through spin chains in the presence of a staggered magnetic field
- Almost perfect transmission of multipartite entanglement through disordered and noisy spin chains
- Quantum state swapping via qubit network with Hubbard interaction
- Spin-entanglement wave in a coarse-grained optical lattice
- Engineering massive quantum memories by topologically time-modulated spin rings
- Optimal electron propagation on a quantum chain by a topological phase
- Robust Multiple-Range Coherent Quantum State Transfer
- Quenching and generation of random states in a kicked Ising model
- Optimal 1->M universal quantum cloning via spin networks
- Robustness of spin-chain state-transfer schemes
- Quantum dynamics of magnetically controlled network for Bloch electrons
- Measure synchronization in interacting Hamiltonian systems: A brief review
- Robust and efficient transport of two-qubit entanglement via disordered spin chains
- High fidelity state transfer in binary tree spin networks
- W-like states of N uncoupled spins 1/2
- Fuzzy measurements and coarse graining in quantum many-body systems
- Dynamic generation of entangling wave packets in XY spin system with decaying long range couplings
- Entanglement creation and distribution on a graph of exchange-coupled qutrits
- Emergence of entanglement with temperature and time in factorization-surface states
- Entanglement oscillations in open Heisenberg chains
- Emulating quantum state transfer through a spin-1 chain on a 1D lattice of superconducting qutrits
- Perfect state transfer on hypercubes and its implementation using superconducting qubits
- Massive Quantum Memories by Periodically Inverted Dynamic Evolutions
- Fading entanglement near equilibrium state
- Tensor-network approach to compute genuine multisite entanglement in infinite quantum spin chains
- Infinite qubit rings with maximal nearest neighbor entanglement: the Bethe ansatz solution
- A general algorithm for manipulating non-linear and linear entanglement witnesses by using exact convex optimization
- Entanglement dynamics and fractional quantum state transport in the spin- triangular plaquette
- Quantum Corralling
- Ground state properties of the Heisenberg-compass model on the square lattice
- Sensing multiatom networks in cavities via photon-induced excitation resonance
- An Important Properties of Entanglement: Pairwise Entanglement can Only be Transferred by Entangled Pair
- Dynamics of a tight-binding ring threaded by time-periodic magnetic flux
- Information scrambling and redistribution of quantum correlations through dynamical evolution in spin chains
- Doubly excited ferromagnetic spin-chain as a pair of coupled kicked rotors
- An Ideal Channel of Long Distance Entanglement in Spin Systems
- Sudden switch of generalized Lieb-Robinson velocity in a transverse field Ising spin chain
- A Chain-Boson Model for the Decoherence and Relaxation of a Few Coupled SQUIDs in a Phonon Bath
- Generating GHZ state in 2m-qubit spin network
- Propagation of local excitations through strongly correlated quantum chains
- Interference of the signal from a local dynamical process with the quantum state propagation in spin chains
- Designing spin channel geometries for entanglement distribution
- Remotely detecting the signal of a local decohering process in spin chains
- Quantum correlations in a cluster spin model with three-spin interactions
- An overview of Quantum Cellular Automata
- A switching approach for perfect state transfer over a scalable and routing enabled network architecture with superconducting qubits
- Reshaping coupled bosonic networks: A bipartite-graph framework for optimal quantum excitation transfer
- Expediting quantum state transfer through the long-range extended XY model