Faithful and efficient hyperentanglement purification for spatial-polarization-time-bin photon system

doi:10.1088/1674-1056/aca395

中国物理B ›› 2023, Vol. 32 ›› Issue (6): 60304-060304.doi: 10.1088/1674-1056/aca395

Faithful and efficient hyperentanglement purification for spatial-polarization-time-bin photon system

Fang-Fang Du(杜芳芳)^1,†, Gang Fan(樊钢)¹, Yi-Ming Wu(吴一鸣)¹, and Bao-Cang Ren(任宝藏)^2,‡

1 Science and Technology on Electronic Test and Measurement Laboratory, North University of China, Taiyuan 030051, China;
2 Department of Physics, Capital Normal University, Beijing 100048, China

收稿日期:2022-07-11 修回日期:2022-10-17 接受日期:2022-11-17 出版日期:2023-05-17 发布日期:2023-05-22
通讯作者: Fang-Fang Du, Bao-Cang Ren E-mail:Duff@nuc.edu.cn;renbaocang@cnu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 61901420 and 11604226), the Shanxi Province Science Foundation for Youths (Grant No. 201901D211235), the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (Grant No. 2019L0507), and the Program of Beijing Municipal Commission of Education of China (Grant Nos. CIT&TCD201904080 and KM201810028005).

Faithful and efficient hyperentanglement purification for spatial-polarization-time-bin photon system

Fang-Fang Du(杜芳芳)^1,†, Gang Fan(樊钢)¹, Yi-Ming Wu(吴一鸣)¹, and Bao-Cang Ren(任宝藏)^2,‡

1 Science and Technology on Electronic Test and Measurement Laboratory, North University of China, Taiyuan 030051, China;
2 Department of Physics, Capital Normal University, Beijing 100048, China

Received:2022-07-11 Revised:2022-10-17 Accepted:2022-11-17 Online:2023-05-17 Published:2023-05-22
Contact: Fang-Fang Du, Bao-Cang Ren E-mail:Duff@nuc.edu.cn;renbaocang@cnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 61901420 and 11604226), the Shanxi Province Science Foundation for Youths (Grant No. 201901D211235), the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (Grant No. 2019L0507), and the Program of Beijing Municipal Commission of Education of China (Grant Nos. CIT&TCD201904080 and KM201810028005).

摘要/Abstract

摘要： We present a faithful and efficient hyperentanglement purification protocol (hyper-EPP) for nonlocal two-photon systems in spatial-polarization-time-bin hyperentangled Bell states. As the single-photon detectors can detect and herald the undesirable properties caused by side leakage and finite coupling strength, the parity-check gates and swap gates of our hyper-EPP in the spatial, polarization and time-bin mode degrees of freedom (DoFs) work faithfully. The qubit-flip errors in photon systems in three DoFs can be corrected effectively with the faithful parity-check gates and the photon pairs can be reused to distill high-fidelity ones by introducing the faithful swap gates, which greatly increases the efficiency of our hyper-EPP. Further, the maximal hyperentanglement can be obtained in principle by operating multiple rounds of the hyper-EPP.

关键词: quantum communication, hyperentanglement purification, photon system, multiple degrees of freedom

Abstract: We present a faithful and efficient hyperentanglement purification protocol (hyper-EPP) for nonlocal two-photon systems in spatial-polarization-time-bin hyperentangled Bell states. As the single-photon detectors can detect and herald the undesirable properties caused by side leakage and finite coupling strength, the parity-check gates and swap gates of our hyper-EPP in the spatial, polarization and time-bin mode degrees of freedom (DoFs) work faithfully. The qubit-flip errors in photon systems in three DoFs can be corrected effectively with the faithful parity-check gates and the photon pairs can be reused to distill high-fidelity ones by introducing the faithful swap gates, which greatly increases the efficiency of our hyper-EPP. Further, the maximal hyperentanglement can be obtained in principle by operating multiple rounds of the hyper-EPP.

Key words: quantum communication, hyperentanglement purification, photon system, multiple degrees of freedom

中图分类号: (Quantum information)

03.67.-a

03.67.Hk (Quantum communication) 03.67.Dd (Quantum cryptography and communication security) 03.65.Ud (Entanglement and quantum nonlocality)

Fang-Fang Du(杜芳芳), Gang Fan(樊钢), Yi-Ming Wu(吴一鸣), and Bao-Cang Ren(任宝藏). Faithful and efficient hyperentanglement purification for spatial-polarization-time-bin photon system[J]. 中国物理B, 2023, 32(6): 60304-060304.

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Faithful and efficient hyperentanglement purification for spatial-polarization-time-bin photon system

Faithful and efficient hyperentanglement purification for spatial-polarization-time-bin photon system

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