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Entropy 2015, 17(3), 1181-1196; doi:10.3390/e17031181

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
Received: 31 October 2014 / Revised: 21 February 2015 / Accepted: 9 March 2015 / Published: 12 March 2015
View Full-Text   |   Download PDF [231 KB, uploaded 12 March 2015]

Abstract

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
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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

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