Entropy of Quantum Measurement

Entropy

Hanna Podsᆝkowska¹ 

[1] Faculty of Mathematics and Computer Sciences, University of Łódź, ul. S. Banacha 22, 90-238 Łódź, Poland; E-Mail

关键词: entropy;    von Neumann algebra;    instrument;   

DOI  :  10.3390/e17031181

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland