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Entropy of Quantum Measurement

Faculty of Mathematics and Computer Sciences, University of Łódź, ul. S. Banacha 22, 90-238 Łódź, Poland
Academic Editor: Kevin H. Knuth
Entropy 2015, 17(3), 1181-1196; https://doi.org/10.3390/e17031181
Received: 31 October 2014 / Revised: 21 February 2015 / Accepted: 9 March 2015 / Published: 12 March 2015
A notion of entropy of a normal state on a finite von Neumann algebra in Segal’s sense is considered, and its superadditivity is proven together with a necessary and sufficient condition for its additivity. Bounds on the entropy of the state after measurement are obtained, and it is shown that a weakly repeatable measurement gives minimal entropy and that a minimal state entropy measurement satisfying some natural additional conditions is repeatable. View Full-Text
Keywords: entropy; von Neumann algebra; instrument entropy; von Neumann algebra; instrument
MDPI and ACS Style

Podsȩdkowska, H. Entropy of Quantum Measurement. Entropy 2015, 17, 1181-1196.

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