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Entropy Change in Quantum Measurements for Infinite-Dimensional Quantum Systems

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Abstract

In this paper, first, we prove the projective measurement increases the entropy in infinite-dimensional quantum systems, and discuss some useful properties for the study of entropy changes in quantum measurement. Next, we introduce a joint purification framework which keeps track of all the information transfer in a quantum measurement. Based on this joint purification which encodes the various entropies arising from the most general quantum measurement, we establish several information conservation and entropic relations in infinite-dimensional case.

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Acknowledgments

This work is supported by Shanxi Youth Science and Technology Research Funding (Grant No.2015021009) and National Science foundation of Shanxi Province (Grant No.201601D021009).

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Authors and Affiliations

  1. Department of Mathematics, Taiyuan University of Technology, Taiyuan, 030024, People’s Republic of China

    Zhoubo Duan & Jinchuan Hou

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  1. Zhoubo Duan
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  2. Jinchuan Hou
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Correspondence to Zhoubo Duan.

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Duan, Z., Hou, J. Entropy Change in Quantum Measurements for Infinite-Dimensional Quantum Systems. Int J Theor Phys 58, 463–471 (2019). https://doi.org/10.1007/s10773-018-3946-5

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  • DOI: https://doi.org/10.1007/s10773-018-3946-5

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