Measurement-based entanglement purification for hybrid entangled state

doi:10.1088/1674-1056/adb267

中国物理B ›› 2025, Vol. 34 ›› Issue (3): 30307-030307.doi: 10.1088/1674-1056/adb267

Measurement-based entanglement purification for hybrid entangled state

Cheng-Chen Luo(罗程晨)^1,3, Shi-Pu Gu(顾世浦)², Xing-Fu Wang(王兴福)¹, Lan Zhou(周澜)^1,†, and Yu-Bo Sheng(盛宇波)^2,3

1 College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China;
2 College of Electronic and Optical Engineering & College of Flexible Electronics (Future Technology), Nanjing University of Posts and Telecommunications, Nanjing 210023, China;
3 Institute of Quantum Information and Technology, Nanjing University of Posts and Telecommunications, Nanjing 210003, China

收稿日期:2024-11-29 修回日期:2025-01-11 接受日期:2025-02-05 发布日期:2025-03-15
通讯作者: Lan Zhou E-mail:zhoul@njupt.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12175106 and 92365110) and the Postgraduate Research and Practice Innovation Program of Jiangsu Province (Grant No. KYCX23-1028).

Measurement-based entanglement purification for hybrid entangled state

Cheng-Chen Luo(罗程晨)^1,3, Shi-Pu Gu(顾世浦)², Xing-Fu Wang(王兴福)¹, Lan Zhou(周澜)^1,†, and Yu-Bo Sheng(盛宇波)^2,3

1 College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China;
2 College of Electronic and Optical Engineering & College of Flexible Electronics (Future Technology), Nanjing University of Posts and Telecommunications, Nanjing 210023, China;
3 Institute of Quantum Information and Technology, Nanjing University of Posts and Telecommunications, Nanjing 210003, China

Received:2024-11-29 Revised:2025-01-11 Accepted:2025-02-05 Published:2025-03-15
Contact: Lan Zhou E-mail:zhoul@njupt.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 12175106 and 92365110) and the Postgraduate Research and Practice Innovation Program of Jiangsu Province (Grant No. KYCX23-1028).

摘要/Abstract

摘要： Hybrid entangled states (HESs), which involve different particles with various degrees of freedom, have garnered significant attention and been applied in a wide range of quantum technologies. However, similar to other categories of entanglement, maximally HESs inevitably degrade to mixed states due to the environmental noise and operational imperfections. To address the degradation problem, measurement-based entanglement purification offers a feasible and robust solution alternative to conventional gate-based purification methods. In this paper, we propose a measurement-based hybrid entanglement purification protocol (MB-HEPP) for a certain kind of HES which consists of polarization photons and coherent states. We extend our methodology to several conditions, such as the multi-copy and multi-party scenarios, and the photon-loss condition. Compared with previous HEPPs, this protocol has several advantages. First, it does not depend on post-selection and the purified HESs can be retained for further application. Second, it does not require the Bell state measurement, but only uses the parity check with conventional linear optical elements, which makes it have the higher success probability and more feasible. Our MB-HEPP has potential applications in future heterogeneous quantum networks.

关键词: hybrid entanglement, measurement-based entanglement purification, parity check

Abstract: Hybrid entangled states (HESs), which involve different particles with various degrees of freedom, have garnered significant attention and been applied in a wide range of quantum technologies. However, similar to other categories of entanglement, maximally HESs inevitably degrade to mixed states due to the environmental noise and operational imperfections. To address the degradation problem, measurement-based entanglement purification offers a feasible and robust solution alternative to conventional gate-based purification methods. In this paper, we propose a measurement-based hybrid entanglement purification protocol (MB-HEPP) for a certain kind of HES which consists of polarization photons and coherent states. We extend our methodology to several conditions, such as the multi-copy and multi-party scenarios, and the photon-loss condition. Compared with previous HEPPs, this protocol has several advantages. First, it does not depend on post-selection and the purified HESs can be retained for further application. Second, it does not require the Bell state measurement, but only uses the parity check with conventional linear optical elements, which makes it have the higher success probability and more feasible. Our MB-HEPP has potential applications in future heterogeneous quantum networks.

Key words: hybrid entanglement, measurement-based entanglement purification, parity check

中图分类号: (Quantum error correction and other methods for protection against decoherence)

03.67.Pp

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

Cheng-Chen Luo(罗程晨), Shi-Pu Gu(顾世浦), Xing-Fu Wang(王兴福), Lan Zhou(周澜), and Yu-Bo Sheng(盛宇波). Measurement-based entanglement purification for hybrid entangled state[J]. 中国物理B, 2025, 34(3): 30307-030307.

Cheng-Chen Luo(罗程晨), Shi-Pu Gu(顾世浦), Xing-Fu Wang(王兴福), Lan Zhou(周澜), and Yu-Bo Sheng(盛宇波). Measurement-based entanglement purification for hybrid entangled state[J]. Chin. Phys. B, 2025, 34(3): 30307-030307.

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Measurement-based entanglement purification for hybrid entangled state

Measurement-based entanglement purification for hybrid entangled state

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