三维时间片最大纠缠态的最优检测

doi:10.3969/j.issn.1007-5461.2023.01.010

量子电子学报 ›› 2023, Vol. 40 ›› Issue (1): 85-94.doi: 10.3969/j.issn.1007-5461.2023.01.010

三维时间片最大纠缠态的最优检测

曹睿1 , 袁晨智1 , 沈思1 , 张子昌1 , 范云茹1 , 李加睿1 , 李浩2 , 尤立星2 , 周强1 , 王子竹1∗

( 1 电子科技大学基础与前沿研究院, 四川成都 610054; 2 中国科学院上海微系统与信息技术研究所, 上海 200050 )

收稿日期:2021-04-27 修回日期:2021-05-12 出版日期:2023-01-28 发布日期:2023-01-28
通讯作者: E-mail: zizhu@uestc.edu.cn E-mail:E-mail: zizhu@uestc.edu.cn
作者简介:曹睿 ( 1995 - ), 新疆人, 研究生, 主要从事量子信息方面的研究。 E-mail: ruicao@std.uestc.edu.cn
基金资助:
国家重点研发计划 (2018YFA0306703, 2019YFB2203400, 2018YFA0306102), 国家自然科学基金 (61775025, 62075034, 12074058, 91836102, U19A2076, 61704164, 62005039), 中国博士后科学基金 (2020M673178), 四川省科技计划 (2018JY0084)

Optimized detection of maximally entangled time-bin qutrits

CAO Rui 1 , YUAN Chengzhi 1 , SHEN Si 1 , ZHANG Zichang 1 , FAN Yunru 1 , LI Jiarui 1 , LI Hao 2 , YOU Lixing 2 , ZHOU Qiang 1 , WANG Zizhu 1∗

( 1 Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu 610054, China; 2 Shanghai Institute of Microsystem and Information Technology, Chinese Academy of Sciences, Shanghai 200050, China )

Received:2021-04-27 Revised:2021-05-12 Published:2023-01-28 Online:2023-01-28

摘要/Abstract

摘要： 如何实现高维纠缠态的纠缠检测是量子科技理论和实验研究的一项重要内容。传统的基于保真度的纠缠见证并不能适用于检测所有种类的纠缠态, 且其测量组合的数目也并非最优。通过在光子的时间片自由度上制备出两体三维最大纠缠态, 在使用传统纠缠见证无法认定其纠缠性质的情况下, 采用基于凸优化理论的纠缠检测方法对该量子态的纠缠维度进行检测。结果表明, 凭借新方法可获得更有效的测量方案, 能够高效准确地认证目标态的纠缠维度, 并将传统纠缠见证实验所需的 15 组测量组合减少至 6 组。

关键词: 量子信息, 纠缠见证, 纠缠检测, 高维纠缠态

Abstract: The detection of high-dimensional entanglement is an important challenge in both theoretical and experimental aspects of quantum information science and technology. The traditional entanglement witness based on ﬁdelity is not suitable for detecting all kinds of entanglement states, and the number of measurement combinations is not optimal. A new algorithm based on convex optimization theory has been proposed to remedy the situation. The performance of both approaches on a bipartite time-bin-entangled qutrit is experimentally test. When the traditional entanglement witness cannot determine its entanglement property unambiguously, it’s switched to the optimization-based method. The results show that a simpler and more eﬀective measurement scheme can be obtained by using the new method, which can eﬃciently and accurately verify the entanglement dimension of the target qutrit. In addition, compared with the traditional entanglement witness, the new method only requires counting 6 diﬀerent pairs of coincidences instead of 15.

Key words: quantum information, entanglement witness, entanglement detection, high-dimensional entangled states

中图分类号:

O431.2

曹睿 , 袁晨智 , 沈思 , 张子昌 , 范云茹 , 李加睿 , 李浩 , 尤立星 , 周强 , 王子竹∗. 三维时间片最大纠缠态的最优检测[J]. 量子电子学报, 2023, 40(1): 85-94.

CAO Rui , YUAN Chengzhi , SHEN Si , ZHANG Zichang , FAN Yunru , LI Jiarui , LI Hao , YOU Lixing , ZHOU Qiang , WANG Zizhu ∗. Optimized detection of maximally entangled time-bin qutrits[J]. Chinese Journal of Quantum Electronics, 2023, 40(1): 85-94.

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三维时间片最大纠缠态的最优检测

Optimized detection of maximally entangled time-bin qutrits

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