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通过周期性驱动实现海森堡自旋链中的受控态转移

Controlled state transfer in a Heisenberg spin chain by periodic drives.

作者信息

Shan H J, Dai C M, Shen H Z, Yi X X

机构信息

Center for Quantum Sciences, Northeast Normal University, Changchun, 130117, China.

Center for Advanced Optoelectronic Functional Materials Research, and Key Laboratory for UV Light-Emitting Materials and Technology of Ministry of Education, Northeast Normal University, Changchun, 130024, China.

出版信息

Sci Rep. 2018 Sep 10;8(1):13565. doi: 10.1038/s41598-018-31552-w.

DOI:10.1038/s41598-018-31552-w
PMID:30202069
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC6131558/
Abstract

The spin chain is a system that has been widely studied for its quantum phase transition. It also holds potential for practical application in quantum information, including quantum communication and quantum computation. In this paper, we propose a scheme for conditional state transfer in a Heisenberg XXZ spin chain. In our scheme, the absence or presence of a periodic driving potential results in either a perfect state transfer between the input and output ports, or a complete blockade at the input port. This scheme is formalized by deriving an analytical expression of the effective Hamiltonian for the spin chain subject to a periodic driving field in the high-frequency limit. The influence of the derivation of the optimal parameter on the performance of the state transfer is also examined, showing the robustness of the spin chain for state transfer. In addition, the collective decoherence effect on the fidelity of state transfer is discussed. The proposed scheme paves the way for the realization of integrated quantum logic elements, and may find application in quantum information processing.

摘要

自旋链是一种因其量子相变而被广泛研究的系统。它在量子信息领域,包括量子通信和量子计算,也具有实际应用潜力。在本文中,我们提出了一种在海森堡XXZ自旋链中进行条件态转移的方案。在我们的方案中,周期性驱动势的有无会导致输入端口和输出端口之间要么实现完美的态转移,要么在输入端口完全阻塞。通过推导在高频极限下受周期性驱动场作用的自旋链有效哈密顿量的解析表达式,该方案得以形式化。还研究了最优参数的推导对态转移性能的影响,展示了自旋链进行态转移的稳健性。此外,还讨论了集体退相干效应对态转移保真度的影响。所提出的方案为集成量子逻辑元件的实现铺平了道路,并可能在量子信息处理中得到应用。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4228/6131558/f503e606c7cf/41598_2018_31552_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4228/6131558/913021d5aea8/41598_2018_31552_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4228/6131558/756b9643995f/41598_2018_31552_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4228/6131558/4740c1c66bbb/41598_2018_31552_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4228/6131558/1f6ce3c8bddb/41598_2018_31552_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4228/6131558/caeb2ee3cc8d/41598_2018_31552_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4228/6131558/ae5841c0813f/41598_2018_31552_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4228/6131558/f503e606c7cf/41598_2018_31552_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4228/6131558/913021d5aea8/41598_2018_31552_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4228/6131558/756b9643995f/41598_2018_31552_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4228/6131558/4740c1c66bbb/41598_2018_31552_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4228/6131558/1f6ce3c8bddb/41598_2018_31552_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4228/6131558/caeb2ee3cc8d/41598_2018_31552_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4228/6131558/ae5841c0813f/41598_2018_31552_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4228/6131558/f503e606c7cf/41598_2018_31552_Fig7_HTML.jpg

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本文引用的文献

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