Quantum state transfer in a XX chain with impurities

Abstract

One spin excitation states are involved in the transmission of quantum states and entanglement through a quantum spin chain, the localization properties of these states are crucial to achieve the transfer of information from one extreme of the chain to the other. We investigate the bipartite entanglement and localization of the one excitation states in a quantum $XX$ chain with one impurity. The bipartite entanglement is obtained using the Concurrence and the localization is analyzed using the inverse participation ratio. Changing the strength of the exchange coupling of the impurity allows us to control the number of localized or extended states. The analysis of the inverse participation ratio allows us to identify scenarios where the transmission of quantum states or entanglement can be achieved with a high degree of fidelity. In particular we identify a regime where the transmission of quantum states between the extremes of the chain is executed in a short transmission time $\sim N/2$, where $N$ is the number of spins in the chain, and with a large fidelity.

References in corpus (16)

• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Quantum Communication through Spin Chain Dynamics: an Introductory Overview
• Effective spin systems in coupled micro-cavities
• Optimal dynamics for quantum-state and entanglement transfer through homogeneous quantum wires
• Entanglement entropy and multifractality at localization transitions
• Entanglement of random vectors
• Local control of entanglement in a spin chain
• Distribution of bipartite entanglement for random pure states
• Dynamical regimes of a quantum swap gate beyond the Fermi Golden Rule
• Generalized entanglement as a framework for complex quantum systems: Purity vs delocalization measures
• Entanglement localization by a single defect in a spin chain
• Perfect state transfers by selective quantum interferences within complex spin networks
• Entropy, fidelity, and double orthogonality for resonance states in two-electron quantum dots
• Entanglement of localized states
• Entanglement in Finitely Correlated Spin States
• Implementing Quantum Gates using the Ferromagnetic Spin-J XXZ Chain with Kink Boundary Conditions

Cited by in corpus (24)

• 99%-fidelity ballistic quantum-state transfer through long uniform channels
• Robustness of spin-coupling distributions for perfect quantum state transfer
• Long quantum channels for high-quality entanglement transfer
• Quantum-state transfer via resonant tunnelling through local field induced barriers
• Spin chains for robust state transfer: Modified boundary couplings vs. completely engineered chains
• Transfer of arbitrary two qubit states via a spin chain
• Optimized dynamical control of state transfer through noisy spin chains
• Quantum Logic between Remote Quantum Registers
• Localization effects induced by decoherence in superpositions of many-spin quantum states
• Quantum-state transfer in spin chains via isolated resonance of terminal spins
• Many-qubit quantum state transfer via spin chains
• Controlled quantum state transfer in $XX$ spin chains at the Quantum Speed Limit
• Dynamics of Rydberg excitations and quantum correlations in an atomic array coupled to a photonic crystal waveguide
• Pretty good quantum state transfer on isotropic and anisotropic Heisenberg spin chains with tailored site dependent exchange couplings
• Quantum transfer of interacting qubits
• Robustness of spin-chain state-transfer schemes
• Understanding the propagation of excitations in quantum spin chains with different kind of interactions
• Partial structural restoring of two-qubit transferred state
• Remote two-qubit state creation and its robustness
• Transferring entangled states through spin chains by boundary-state multiplets
• Edge states in quantum spin chains: the interplay among interaction, gradient magnetic field and Floquet engineering
• Two-channel spin-chain communication line and simple quantum gates
• Fast and efficient long-distance quantum state transfer in long-range spin-$\frac{1}{2}$ models
• Exact solution of a family of staggered Heisenberg chains with conclusive pretty good quantum state transfer