空间纠缠协助下对低纠缠 GHZ 态的确定性纠缠纯化

doi:10.3969/j.issn.1007-5461.2023.06.014

量子电子学报 ›› 2023, Vol. 40 ›› Issue (6): 943-951.doi: 10.3969/j.issn.1007-5461.2023.06.014

空间纠缠协助下对低纠缠 GHZ 态的确定性纠缠纯化

朱孟正* , 苏梦远 , 公丕锋 , 张金锋

( 淮北师范大学物理与电子信息学院, 安徽淮北 235000 )

收稿日期:2022-01-17 修回日期:2022-03-17 出版日期:2023-11-28 发布日期:2023-11-28
通讯作者: E-mail: mzzhu@139.com E-mail:E-mail: mzzhu@139.com
作者简介:朱孟正 ( 1978 - ), 安徽无为人, 博士, 教授, 主要从事量子信息方面的研究。E-mail: mzzhu@139.com
基金资助:
国家自然科学基金 (51973078), 安徽省自然科学基金 (1808085MA08)

Deterministic entanglement purification for decohered GHZ state assisted by spatial entanglement

ZHU Mengzheng* , SU Mengyuan, GONG Pifeng, ZHANG Jinfeng

( School of Physics & Electronic Information, Huaibei Normal University, Huaibei 235000, China )

Received:2022-01-17 Revised:2022-03-17 Published:2023-11-28 Online:2023-11-28

摘要/Abstract

摘要： 基于偏振分束器和半波片线性光学元件, 把在偏振自由度中出现的比特翻转和相位翻转错误转移到空间自由度中, 从而实现针对极化低纠缠GHZ态的确定性纠缠纯化。利用线性光学和超纠缠的方法, 该确定性纠缠纯化方案实施过程中无需知晓待纯化的低纠缠GHZ态的任何参数, 无需将偏振自由度中相位翻转错误转化成比特翻转再进行纯化, 也无需引入非线性效应, 仅需一个纯化步骤, 即可确定性地纠正在偏振混合态中出现的比特翻转和相位翻转错误, 极大地增强了该方案的实验可行性。

关键词: 量子光学, 纠缠纯化, 量子通信, 超纠缠

Abstract: A deterministic entanglement purification protocol (EPP) for polarization decohered Greenberger-Horne-Zeilinger (GHZ) state is presented based on linear optical elements such as polarization beam splitter and half-wave plate. The proposed EPP makes use of spatial entanglement as an additional resource to purify polarization entanglement, and its essence is to transfer the bit-flip and phase-flip errors from polarization degree of freedom (DOF) to spatial one using the methods of linear optics and hyper-entanglement. The entanglement purification scheme can be implemented without knowing any parameters of the low-entanglement GHZ state to be purified, without converting phase flip errors to bit flips for purification, introducing the nonlinear effects. According to the proposed EPP, just in a purification step, both the bit-flip and phase-flip errors in the polarization mixed states can be deterministically corrected by using additional entanglement DOF in spatial mode, which greatly enhances the experimental feasibility of this scheme.

Key words: quantum optics, entanglement purification, quantum communications, hyper-entanglement

中图分类号:

O431.2

朱孟正 , 苏梦远 , 公丕锋 , 张金锋 . 空间纠缠协助下对低纠缠 GHZ 态的确定性纠缠纯化[J]. 量子电子学报, 2023, 40(6): 943-951.

ZHU Mengzheng , SU Mengyuan, GONG Pifeng, ZHANG Jinfeng . Deterministic entanglement purification for decohered GHZ state assisted by spatial entanglement[J]. Chinese Journal of Quantum Electronics, 2023, 40(6): 943-951.

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空间纠缠协助下对低纠缠 GHZ 态的确定性纠缠纯化

Deterministic entanglement purification for decohered GHZ state assisted by spatial entanglement

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