A1 Refereed original research article in a scientific journal

Complete characterization of extreme quantum observables in infinite dimensions



Authors: Pellonpaa JP

Publisher: IOP PUBLISHING LTD

Publication year: 2011

Journal: Journal of Physics A: Mathematical and Theoretical

Journal name in source: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Journal acronym: J PHYS A-MATH THEOR

Article number: ARTN 085304

Number in series: 8

Volume: 44

Issue: 8

Number of pages: 12

ISSN: 1751-8113

DOI: https://doi.org/10.1088/1751-8113/44/8/085304

Self-archived copy’s web address: https://research.utu.fi/converis/portal/Publication/1306486


Abstract
We give a complete characterization for extreme quantum observables, i.e. for normalized positive operator valued measures (POVMs) which are extremals in the convex set of all POVMs. The characterization is valid both in discrete and continuous cases, and also in the case of an infinite-dimensional Hilbert space. We show that sharp POVMs are pre-processing clean, i.e. they cannot be irreversibly connected to other POVMs via quantum channels.

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Last updated on 2024-26-11 at 14:58