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Entropy, information and quantum measurements

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Abstract

The conditional entropy between two states of a quantum system is shown to be nonincreasing when a complete measurement is performed on the system. The information between two quantum systems is defined and is shown to be bounded above by the logarithmic correlation. This inequality is then applied to the measurement process. The entropy changes in the observed system and the measuring apparatus are compared with the information gain in the measurement.

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Lindblad, G. Entropy, information and quantum measurements. Commun.Math. Phys. 33, 305–322 (1973). https://doi.org/10.1007/BF01646743

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  • DOI: https://doi.org/10.1007/BF01646743

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