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Random positive operator valued measures
Tekijät: Heinosaari T, Jivulescu MA, Nechita I
Kustantaja: AMER INST PHYSICS
Julkaisuvuosi: 2020
Journal: Journal of Mathematical Physics
Tietokannassa oleva lehden nimi: JOURNAL OF MATHEMATICAL PHYSICS
Lehden akronyymi: J MATH PHYS
Vuosikerta: 61
Numero: 4
Sivujen määrä: 27
ISSN: 0022-2488
eISSN: 1089-7658
DOI: https://doi.org/10.1063/1.5131028
Rinnakkaistallenteen osoite: https://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.
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.
Ladattava julkaisu This is an electronic reprint of the original article. |