Ballistic quantum state transfer in spin chains: general theory for quasi-free models and arbitrary initial states

Abstract

Ballistic quantum-information transfer through spin chains is based on the idea of making the spin dynamics ruled by collective excitations with linear dispersion relation. Unlike perfect state transfer schemes, a ballistic transmission requires only a minimal engineering of the interactions; in fact, for most practical purposes, the optimization of the couplings to the ends of the chain is sufficient to obtain an almost perfect transmission. In this work we review different ballistic quantum-state transfer protocols based on the dynamics of quasi-free spin chains, and further generalize them both at zero and finite temperature. In particular, besides presenting novel analytical results for XX, XY, and Ising spin models, it is shown how, via a complete control on the first and last two qubits of the chain, destructive thermal effects can be cancelled, leading to a high-quality state transmission irrespective of the temperature.

18 pages, 5 figures. Extracted from PhD thesis

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Cited by in corpus (11)

• Transfer of arbitrary two qubit states via a spin chain
• Pretty Good State Transfer in Qubit Chains - The Heisenberg Hamiltonian
• Quantum state transfer in a disordered one-dimensional lattice
• Pretty good state transfer of entangled states through quantum spin chains
• Perfect wave-packet splitting and reconstruction in a one-dimensional lattice
• Many-qubit quantum state transfer via spin chains
• Analytical solution of open crystalline linear 1D tight-binding models
• Optimal Quench for Distance-Independent Entanglement and Maximal Block Entropy
• Quantum state transfer using 1D Heisenberg Hamiltonian on quasi-1D lattices
• Effect of Emitters on Quantum State Transfer in Coupled Cavity Arrays
• Finite speed heat transport in a quantum spin chain after quenched local cooling