High-dimensional quantum state transfer in a noisy network environment

TL;DR

This paper presents a high-dimensional quantum state transfer protocol in spin networks that is efficient, robust against noise, and independent of distance and state dimension, with potential for improved quantum communication.

Contribution

It introduces a novel high-dimensional quantum state transfer method in spin networks that does not require external control and is resilient to environmental noise.

Findings

Unitary evolution achieves perfect quantum swap without external manipulation.

Decoherence reduces fidelity but can be suppressed by increasing intra-channel coupling.

Transfer time is independent of distance and state dimension.

Abstract

We propose and analyze an efficient high-dimensional quantum state transfer protocol in an XX coupling spin network with a hypercube structure or chain structure. Under free spin wave approximation, unitary evolution results in a perfect high-dimensional quantum swap operation requiring neither external manipulation nor weak coupling. Evolution time is independent of either distance between registers or dimensions of sent states, which can enable improvements in computational efficiency. In the low temperature regime and thermodynamic limit, the decoherence by noisy environment is studied with a model of an antiferromagnetic spin bath coupled to quantum channels via an Ising type interaction is studied. it is found that while the decoherence reduces the fidelity of state transfer, increasing intra-channel coupling can strongly suppress such effects. These observations demonstrate that robustness of the proposed scheme.