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Which Bipartite States are Lazy

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Abstract

A bipartite state is called lazy if the entropy rate of one subsystem is vanishing for any coupling to the other subsystem. In this paper, we provide a necessary and sufficient condition for a finite-dimensional bipartite state to be lazy, and prove that a two-mode Gaussian state is lazy if and only if it is a direct product state.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No.11347213) and the Research Start-up Foundation for Talents of Northwest A&F University of China (Grant No.2013BSJJ041). The author thanks Zi-Qing Wang and Chang-Yong Liu for helpful discussions.

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  1. College of Science, Northwest A&F University, Yangling, Shaanxi, 712100, China

    Jianwei Xu

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  1. Jianwei Xu
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Correspondence to Jianwei Xu.

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Xu, J. Which Bipartite States are Lazy. Int J Theor Phys 54, 860–867 (2015). https://doi.org/10.1007/s10773-014-2281-8

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  • DOI: https://doi.org/10.1007/s10773-014-2281-8

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