Complete characterization of extreme quantum observables in infinite dimensions



: Pellonpaa JP

Publisher: IOP PUBLISHING LTD

: 2011

: Journal of Physics A: Mathematical and Theoretical

: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

: J PHYS A-MATH THEOR

: ARTN 085304

: 8

: 44

: 8

: 12

: 1751-8113

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

: 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.

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