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Quantifying Decoherence of Gaussian Noise Channels

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Abstract

Gaussian noise channels (also called classical noise channels, bosonic Gaussian channels) arise naturally in continuous variable quantum information and play an important role in both theoretical analysis and experimental investigation of information transmission. After reviewing concisely the basic properties of these channels, we introduce an information-theoretic measure for the decoherence of optical states caused by these channels in terms of averaged Wigner-Yanase skew information, explore its basic features, obtain a scaling law, and derive a complementarity relation between the decoherence and the quantum affinity. As an application of the decoherence measure, we derive a convenient and sufficient criterion for detecting optical nonclassicality. The decoherence on some typical optical states caused by Gaussian noise channels are explicitly evaluated to illustrate the concept.

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Acknowledgements

This work was supported by the National Key R&D Program of China, Grant No. 2020YFA0712700, and the National Natural Science Foundation of China, Grant Nos. 11875317 and 61833010.

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Authors and Affiliations

  1. State Key Laboratory of Mesoscopic Physics, School of Physics, Frontiers Science Center for Nano-optoelectronics, Peking University, Beijing, 100871, China

    Yue Zhang

  2. Beijing Academy of Quantum Information Sciences, Beijing, 100193, China

    Yue Zhang

  3. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China

    Shunlong Luo

  4. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China

    Shunlong Luo

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  1. Yue Zhang
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Correspondence to Shunlong Luo.

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Zhang, Y., Luo, S. Quantifying Decoherence of Gaussian Noise Channels. J Stat Phys 183, 19 (2021). https://doi.org/10.1007/s10955-021-02758-6

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