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Complete characterization of extreme quantum observables in infinite dimensions
Tekijät: Pellonpaa JP
Kustantaja: IOP PUBLISHING LTD
Julkaisuvuosi: 2011
Journal: Journal of Physics A: Mathematical and Theoretical
Tietokannassa oleva lehden nimi: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Lehden akronyymi: J PHYS A-MATH THEOR
Artikkelin numero: ARTN 085304
Numero sarjassa: 8
Vuosikerta: 44
Numero: 8
Sivujen määrä: 12
ISSN: 1751-8113
DOI: https://doi.org/10.1088/1751-8113/44/8/085304
Rinnakkaistallenteen osoite: https://research.utu.fi/converis/portal/Publication/1306486
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.
Ladattava julkaisu This is an electronic reprint of the original article. |