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Statements

Subject Item
n2:RIV%2F00216224%3A14310%2F12%3A00072680%21RIV14-MSM-14310___
rdf:type
n6:Vysledek skos:Concept
dcterms:description
Symmetries of finite Heisenberg groups represent an important tool for the study of deeper structure of finite-dimensional quantum mechanics. This short contribution presents extension of previous investigations to composite quantum systems comprised of k subsystems which are described with position and momentum variables in Z(ni) i - 1, ..., k. Their Hilbert spaces are given by k-fold tensor products of Hilbert spaces of dimensions n(1), ..., n(k). Symmetry group of the corresponding finite Heisenberg group is given by the quotient group of a certain normalizer. We provide the description of the symmetry groups for arbitrary multipartite cases. The new class of symmetry groups represents very specific generalization of finite symplectic groups over modular rings. Symmetries of finite Heisenberg groups represent an important tool for the study of deeper structure of finite-dimensional quantum mechanics. This short contribution presents extension of previous investigations to composite quantum systems comprised of k subsystems which are described with position and momentum variables in Z(ni) i - 1, ..., k. Their Hilbert spaces are given by k-fold tensor products of Hilbert spaces of dimensions n(1), ..., n(k). Symmetry group of the corresponding finite Heisenberg group is given by the quotient group of a certain normalizer. We provide the description of the symmetry groups for arbitrary multipartite cases. The new class of symmetry groups represents very specific generalization of finite symplectic groups over modular rings.
dcterms:title
Symmetries of finite Heisenberg groups for k-partite systems Symmetries of finite Heisenberg groups for k-partite systems
skos:prefLabel
Symmetries of finite Heisenberg groups for k-partite systems Symmetries of finite Heisenberg groups for k-partite systems
skos:notation
RIV/00216224:14310/12:00072680!RIV14-MSM-14310___
n6:predkladatel
n8:orjk%3A14310
n4:aktivita
n20:P
n4:aktivity
P(LC505)
n4:dodaniDat
n7:2014
n4:domaciTvurceVysledku
n14:1976575
n4:druhVysledku
n11:D
n4:duvernostUdaju
n17:S
n4:entitaPredkladatele
n13:predkladatel
n4:idSjednocenehoVysledku
172803
n4:idVysledku
RIV/00216224:14310/12:00072680
n4:jazykVysledku
n10:eng
n4:klicovaSlova
mutually unbiased bases; quantum-mechanics; hilbert-space; construction
n4:klicoveSlovo
n5:quantum-mechanics n5:mutually%20unbiased%20bases n5:hilbert-space n5:construction
n4:kontrolniKodProRIV
[AAD66FFC2B9D]
n4:mistoKonaniAkce
Prague, Czech Republic
n4:mistoVydani
Great Britain
n4:nazevZdroje
7th International Conference on Quantum Theory and Symmetries (QTS7), 7–13 August 2011, Prague, Czech Republic
n4:obor
n21:BE
n4:pocetDomacichTvurcuVysledku
1
n4:pocetTvurcuVysledku
2
n4:projekt
n19:LC505
n4:rokUplatneniVysledku
n7:2012
n4:tvurceVysledku
Tolar, Jiří Korbelář, Miroslav
n4:typAkce
n16:WRD
n4:wos
000301174100121
n4:zahajeniAkce
2011-01-01+01:00
s:issn
1742-6588
s:numberOfPages
6
n22:doi
10.1088/1742-6596/343/1/012122
n18:hasPublisher
Institute of Physics
n15:organizacniJednotka
14310