Interplay between speed and fidelity in off-resonant quantum-state transfer protocols

Abstract

An arbitrary qubit can be transmitted through a spin chain by perturbatively coupling both communicating parties to it. Those so-called weak-coupling models rely on effective Rabi oscillations between them, yielding nearly maximum fidelity while offering great resilience against disorder with the cost of having long transfer times. Considering this framework, here we address a 1D non-symmetric channel connecting two spins, one placed at each end of it. Given any pattern of nearest-neighbor coupling strengths, we obtain an analytical expression that accounts for the effective long-range interaction between them and study the interplay between transfer time and fidelity. Furthermore, we show that homogeneous channels provide the best speed-fidelity tradeoff.

arXiv comment5 pages, 3 figures. Appendix added

References in corpus (42)

• Quantum Communication Through an Unmodulated Spin Chain
• Perfect state transfer in quantum spin networks
• A Review of Perfect State Transfer and its Application as a Constructive Tool
• Dynamics of Entanglement in One-Dimensional Spin Systems
• Mirror Inversion of Quantum States in Linear Registers
• Dynamics and manipulation of entanglement in coupled harmonic systems with many degrees of freedom
• Unmodulated spin chains as universal quantum wires
• The Propagation of Quantum Information Through a Spin System
• Long-distance entanglement and quantum teleportation in XX spin chains
• Quantum state transmission via a spin ladder as a robust data bus
• Electron wavepacket propagation and entanglement in a chain of coupled quantum dots
• Perfect state transfer in long-range interacting spin chains
• Optimal dynamics for quantum-state and entanglement transfer through homogeneous quantum wires
• From perfect to fractal transmission in spin chains
• 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
• Multiuser quantum communication networks
• Quantum-state transfer via resonant tunnelling through local field induced barriers
• Routing quantum information in spin chains
• Perfect state transfer in networks of arbitrary topology and coupling configuration
• Quantum-state transfer in staggered coupled-cavity arrays
• Spin chains for robust state transfer: Modified boundary couplings vs. completely engineered chains
• Long-distance entanglement in many-body atomic and optical systems
• Transfer of arbitrary two qubit states via a spin chain
• Robust Quantum Entanglement Generation and Generation-plus-Storage Protocols with Spin Chains
• Topologically protected localised states in spin chains
• Local control of entanglement in a spin chain
• Long-distance entanglement and quantum teleportation in coupled cavity arrays
• Perfect quantum state transfer with spinor bosons on weighted graphs
• Peierls distorted chain as a quantum data bus for quantum state transfer
• Entanglement localization by a single defect in a spin chain
• Transport of Quantum Correlations across a spin chain
• Perfect state transfers by selective quantum interferences within complex spin networks
• Modular Entanglement
• Disorder-assisted distribution of entanglement in $XY$ spin chains
• High-fidelity state transfer through long-range correlated disordered quantum channels
• Even-Odd Effects of Heisenberg Chains on Long-range Interaction and Entanglement
• Quantum transport with coupled cavities on the Apollonian network
• Quantum communication through anisotropic Heisenberg XY spin chains
• High-Probability Quantum State Transfer in the Alternating Open Chains of 1/2 Spins with XY Hamiltonian
• Staggered magnetization and entanglement enhancement by magnetic impurities in $S=1/2$ spin chain

Cited by in corpus (9)

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• Analytical solution of open crystalline linear 1D tight-binding models
• Disorder-safe entanglement transfer through ladder qubit chains
• Entanglement generation between distant parties via disordered spin chains
• Localization properties and high-fidelity state transfer in electronic hopping models with correlated disorder
• Flat-band quantum communication induced by disorder
• Perfect State Transfer in a Spin Chain without Mirror Symmetry
• Expediting quantum state transfer through the long-range extended XY model