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Characterizing the average coherence via a broad class of informationally complete symmetric measurements

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Abstract

Coherence is a foundational feature of quantum mechanics and is increasingly becoming recognized as a key resource for quantum theory. Based on coherence measure, our goal in this work is to evaluate the average coherence of a quantum state with respect to a broad class of informationally complete symmetric measurements by using Wigner–Yanase skew information. In addition, the relationship between these average coherence is also clearly established according to the different efficiency parameters. These results may further enrich the properties of average coherence.

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The data sets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

This work is supported by National Science Foundation of Sichuan Province (No. 2022NSFSC0534), the Central Guidance on Local Science and Technology Development Fund of Sichuan Province (No. 22ZYZYTS0064), the Chengdu Key Research and Development Support Program (No. 2021-YF09-0016-GX), the key project of Sichuan Normal University (No. XKZX-02).

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Authors and Affiliations

  1. School of Science, Xihua University, Chengdu, 610039, China

    Liang Tang

  2. School of Mathematical Sciences, Sichuan Normal University, Chengdu, 610066, China

    Fan Wu

  3. Institute of Intelligent Information and Quantum Information, Sichuan Normal University, Chengdu, 610066, China

    Liang Tang & Fan Wu

Authors
  1. Liang Tang
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  2. Fan Wu
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Contributions

In fact, all of the authors’ contributions to this paper are important. The specific contributions are as follows. The first author played a major role in the conceptualization and writing of the article. The second author worked mainly on the overall framework and language of the article.

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Correspondence to Liang Tang.

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Tang, L., Wu, F. Characterizing the average coherence via a broad class of informationally complete symmetric measurements. Quantum Inf Process 22, 65 (2023). https://doi.org/10.1007/s11128-022-03822-0

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