中国物理B ›› 2024, Vol. 33 ›› Issue (8): 80308-080308.doi: 10.1088/1674-1056/ad50c1

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Quantum block coherence with respect to projective measurements

Pu Wang(王璞)1, Zhong-Yan Li(李忠艳)2, and Hui-Xian Meng(孟会贤)2,†   

  1. 1 School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, China;
    2 School of Mathematics and Physics, North China Electric Power University, Beijing 102206, China
  • 收稿日期:2024-04-02 修回日期:2024-05-21 出版日期:2024-08-15 发布日期:2024-07-23
  • 通讯作者: Hui-Xian Meng E-mail:huixianmenghd@ncepu.edu.cn
  • 基金资助:
    This research was partially supported by the National Natural Science Foundations of China (Grant No. 11901317), the China Postdoctoral Science Foundation (Grant No. 2020M680480), the Fundamental Research Funds for the Central Universities (Grant No. 2023MS078), and the Beijing Natural Science Foundation (Grant No. 1232021).

Quantum block coherence with respect to projective measurements

Pu Wang(王璞)1, Zhong-Yan Li(李忠艳)2, and Hui-Xian Meng(孟会贤)2,†   

  1. 1 School of Control and Computer Engineering, North China Electric Power University, Beijing 102206, China;
    2 School of Mathematics and Physics, North China Electric Power University, Beijing 102206, China
  • Received:2024-04-02 Revised:2024-05-21 Online:2024-08-15 Published:2024-07-23
  • Contact: Hui-Xian Meng E-mail:huixianmenghd@ncepu.edu.cn
  • Supported by:
    This research was partially supported by the National Natural Science Foundations of China (Grant No. 11901317), the China Postdoctoral Science Foundation (Grant No. 2020M680480), the Fundamental Research Funds for the Central Universities (Grant No. 2023MS078), and the Beijing Natural Science Foundation (Grant No. 1232021).

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摘要： Quantum coherence serves as a defining characteristic of quantum mechanics, finding extensive applications in quantum computing and quantum communication processing. This study explores quantum block coherence in the context of projective measurements, focusing on the quantification of such coherence. Firstly, we define the correlation function between the two general projective measurements $P$ and $Q$, and analyze the connection between sets of block incoherent states related to two compatible projective measurements $P$ and $Q$. Secondly, we discuss the measure of quantum block coherence with respect to projective measurements. Based on a given measure of quantum block coherence, we characterize the existence of maximal block coherent states through projective measurements. This research integrates the compatibility of projective measurements with the framework of quantum block coherence, contributing to the advancement of block coherence measurement theory.

关键词: quantum coherence, compatibility, projective measurement, quantum block coherence

Abstract: Quantum coherence serves as a defining characteristic of quantum mechanics, finding extensive applications in quantum computing and quantum communication processing. This study explores quantum block coherence in the context of projective measurements, focusing on the quantification of such coherence. Firstly, we define the correlation function between the two general projective measurements $P$ and $Q$, and analyze the connection between sets of block incoherent states related to two compatible projective measurements $P$ and $Q$. Secondly, we discuss the measure of quantum block coherence with respect to projective measurements. Based on a given measure of quantum block coherence, we characterize the existence of maximal block coherent states through projective measurements. This research integrates the compatibility of projective measurements with the framework of quantum block coherence, contributing to the advancement of block coherence measurement theory.

Key words: quantum coherence, compatibility, projective measurement, quantum block coherence

中图分类号:  (Quantum systems with finite Hilbert space)

  • 03.65.Aa
03.67.-a (Quantum information)