High-dimensional quantum state transfer in a noisy network environment**Project supported by the National Natural Science Foundation of China (Grant Nos. 11175094 and 91221205) and the National Basic Research Program of China (Grant No. 2011CB9216002). Long Gui-Lu also thanks the support of Center of Atomic and Molecular Nanoscience of Tsinghua University, China.

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 improve the computational efficiency. In the low temperature regime and thermodynamic limit, the decoherence caused by a noisy environment is studied with a model of an antiferromagnetic spin bath coupled to quantum channels via an Ising-type interaction. It is found that while the decoherence reduces the fidelity of state transfer, increasing intra-channel coupling can strongly suppress such an effect. These observations demonstrate the robustness of the proposed scheme.