Volume 536, Issue 5 2300494
Research Article

Purification for Hybrid Entanglement between Discrete- and Continuous-Variable States

Cheng-Chen Luo

Cheng-Chen Luo

College of Electronic and Optical Engineering and College of Flexible Electronics (Future Technology), Nanjing University of Posts and Telecommunications, Nanjing, 210023 China

Institute of Quantum Information and Technology, Nanjing University of Posts and Telecommunications, Nanjing, 210003 China

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Lan Zhou

Lan Zhou

College of Science, Nanjing University of Posts and Telecommunications, Nanjing, 210023 China

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Wei Zhong

Wei Zhong

Institute of Quantum Information and Technology, Nanjing University of Posts and Telecommunications, Nanjing, 210003 China

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Ming-Ming Du

Ming-Ming Du

College of Electronic and Optical Engineering and College of Flexible Electronics (Future Technology), Nanjing University of Posts and Telecommunications, Nanjing, 210023 China

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Xi-Yun Li

Xi-Yun Li

College of Science, Nanjing University of Posts and Telecommunications, Nanjing, 210023 China

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Yu-Bo Sheng

Corresponding Author

Yu-Bo Sheng

College of Electronic and Optical Engineering and College of Flexible Electronics (Future Technology), Nanjing University of Posts and Telecommunications, Nanjing, 210023 China

Institute of Quantum Information and Technology, Nanjing University of Posts and Telecommunications, Nanjing, 210003 China

E-mail: [email protected]

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First published: 04 January 2024

Abstract

Hybrid entangled states (HES) have attracted significant attention and been utilized in various quantum information processing applications. However, like many other entangled states, maximally entangled HES may degrade to mixed states due to environmental noise and operational imperfections. In this paper, a hybrid entanglement purification protocol (HEPP) for the HES, which consists of photon-number state and coherent state is proposed. This HEPP is designed to effectively purify a bit-flip error occurring in any qubit of the HES. Furthermore, HEPP is extended to a general condition, say, the multi-party scenario, and integrates the generation of HES into the HEPP. Moreover, if different initial mixed states are chosen, then the residual entanglement can be utilized to distill high-quality entanglement. The HEPP has important applications in the future quantum information processing field.

Conflict of Interest

The authors declare no conflict of interest.

Data Availability Statement

The data that support the findings of this study are available from the corresponding author upon reasonable request.

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