近日，山西师范大学的程留永及其研究小组取得一项新进展。经过不懈努力，他们实现非厄米三聚体Su-Schrieffer-Heeger链中的可控纠缠态传输。相关研究成果已于2024年12月4日在国际知名学术期刊《物理评论A》上发表。

该研究团队提出利用非厄米三聚体Su-Schrieffer-Heeger（SSH3）链的带隙状态，实现可控、鲁棒且快速的纠缠态传输方案。非厄米性由SSH3链中每个晶胞上的周期性原位虚位势引起，表现为增益和损耗。

研究人员在偶数长度的链中实现了拓扑保护的双向纠缠态传输，在奇数长度的链中实现了单向纠缠态传输，并分析了虚位势对传输性能的影响。研究发现，态传输的成功主要依赖于输出端口的原位虚位势，而与输入端口无关。此外，适当的原位虚位势不仅可以用于打开或关闭传输通道，还能在不破坏鲁棒性的前提下加速传输。

研究人员还讨论了当前传输方案的平均保真度、过程评估以及实验可行性。这些可控、鲁棒且快速的纠缠态传输方案丰富了非厄米量子系统在量子信息处理领域的研究。

附：英文原文

Title: Controllable entangled-state transmission in a non-Hermitian trimer Su-Schrieffer-Heeger chain

Author: Shao-Jun Cao, Li-Na Zheng, Liu-Yong Cheng, Hong-Fu Wang

Issue&Volume: 2024/12/04

Abstract: We propose controllable, robust, and fast entangled-state transmission schemes with the band-gap state of the non-Hermitian trimer Su-Schrieffer-Heeger (SSH₃) chain. The non-Hermiticity is induced by the periodic on-site imaginary potential on each unit cell as gain and loss of the SSH3 chain. We realize topologically protected bidirectional entangled-state transmission in an even-sized chain and unidirectional entangled-state transmission in an odd-sized chain and analyze the effect of the imaginary potential on the transmission performance. It is found that the success of the state transmission mainly depends on the on-site imaginary potential of the output port and is independent of the input port. Moreover, the opportune imaginary potential not only can be used to open or close the transmission channel but also can accelerate the transmission without breaking the robustness. Additionally, we discuss the average fidelity with process assessment and experimental feasibility of the present transmission schemes. The controllable, robust, and fast entangled-state transmission schemes enrich the research on quantum information processing with non-Hermitian quantum systems.

DOI: 10.1103/PhysRevA.110.062409

Source: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.110.062409