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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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