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Random positive operator valued measures




TekijätHeinosaari T, Jivulescu MA, Nechita I

KustantajaAMER INST PHYSICS

Julkaisuvuosi2020

JournalJournal of Mathematical Physics

Tietokannassa oleva lehden nimiJOURNAL OF MATHEMATICAL PHYSICS

Lehden akronyymiJ MATH PHYS

Vuosikerta61

Numero4

Sivujen määrä27

ISSN0022-2488

eISSN1089-7658

DOIhttps://doi.org/10.1063/1.5131028

Rinnakkaistallenteen osoitehttps://research.utu.fi/converis/portal/detail/Publication/47355507


Tiivistelmä
We introduce several notions of random positive operator valued measures (POVMs), and we prove that some of them are equivalent. We then study statistical properties of the effect operators for the canonical examples, starting from the limiting eigenvalue distribution. We derive the large system limit for several quantities of interest in quantum information theory, such as the sharpness, the noise content, and the probability range. Finally, we study different compatibility criteria, and we compare them for generic POVMs.

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Last updated on 2024-26-11 at 13:01