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Complete characterization of extreme quantum observables in infinite dimensions




TekijätPellonpaa JP

KustantajaIOP PUBLISHING LTD

Julkaisuvuosi2011

JournalJournal of Physics A: Mathematical and Theoretical

Tietokannassa oleva lehden nimiJOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Lehden akronyymiJ PHYS A-MATH THEOR

Artikkelin numeroARTN 085304

Numero sarjassa8

Vuosikerta44

Numero8

Sivujen määrä12

ISSN1751-8113

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

Rinnakkaistallenteen osoitehttps://research.utu.fi/converis/portal/Publication/1306486


Tiivistelmä
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