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Quantum measurements with prescribed symmetry


Quantum measurements with prescribed symmetry

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dc.contributor.author Bruzda, Wojciech [SAP13903099] pl
dc.contributor.author Goyeneche, Dardo pl
dc.contributor.author Życzkowski, Karol [SAP11011566] pl
dc.date.accessioned 2018-03-19T15:55:52Z
dc.date.available 2018-03-19T15:55:52Z
dc.date.issued 2017 pl
dc.identifier.issn 2469-9926 pl
dc.identifier.uri https://ruj.uj.edu.pl/xmlui/handle/item/52235
dc.language eng pl
dc.rights Dodaję tylko opis bibliograficzny *
dc.rights.uri *
dc.title Quantum measurements with prescribed symmetry pl
dc.type JournalArticle pl
dc.abstract.en We introduce a method to determine whether a given generalized quantum measurement is isolated or if it belongs to a family of measurements having the same prescribed symmetry. The technique proposed reduces to solving a linear system of equations in some relevant cases. As a consequence, we provide a simple derivation of the maximal family of symmetric informationally complete positive operator-valued measure SIC-POVM in dimension 3. Furthermore, we show that the following remarkable geometrical structures are isolated, so that free parameters cannot be introduced: (a) maximal sets of mutually unbiased bases in prime power dimensions from 4 to 16, (b) SIC-POVM in dimensions from 4 to 16, and (c) contextual Kochen-Specker sets in dimension 3, 4, and 6, composed of 13, 18, and 21 vectors, respectively. pl
dc.description.volume 96 pl
dc.description.number 2 pl
dc.identifier.doi 10.1103/PhysRevA.96.022105 pl
dc.identifier.eissn 2469-9934 pl
dc.title.journal Physical Review. A pl
dc.language.container eng pl
dc.affiliation Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiego pl
dc.subtype Article pl
dc.identifier.articleid 022105 pl
dc.rights.original bez licencji pl
.pointsMNiSW [2017 A]: 35

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