About: Symmetries of finite Heisenberg groups for multipartite systems

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	A composite quantum system comprising a finite number k of subsystems which are described with position and momentum variables in Z(ni), i = 1, ... , k, is considered. Its Hilbert space is given by a k-fold tensor product of Hilbert spaces of dimensions n(1), ... , n(k). The symmetry group of the respective finite Heisenberg group is given by the quotient group of certain normalizer. This paper extends our previous investigation of bipartite quantum systems to arbitrary multipartite systems of the above type. It provides detailed description of the normalizers and the corresponding symmetry groups. The new class of symmetry groups represents a very specific generalization of symplectic groups over modular rings. As an application, a new proof of existence of the maximal set of mutually unbiased bases in Hilbert spaces of prime power dimensions is provided. A composite quantum system comprising a finite number k of subsystems which are described with position and momentum variables in Z(ni), i = 1, ... , k, is considered. Its Hilbert space is given by a k-fold tensor product of Hilbert spaces of dimensions n(1), ... , n(k). The symmetry group of the respective finite Heisenberg group is given by the quotient group of certain normalizer. This paper extends our previous investigation of bipartite quantum systems to arbitrary multipartite systems of the above type. It provides detailed description of the normalizers and the corresponding symmetry groups. The new class of symmetry groups represents a very specific generalization of symplectic groups over modular rings. As an application, a new proof of existence of the maximal set of mutually unbiased bases in Hilbert spaces of prime power dimensions is provided. (en)
Title	Symmetries of finite Heisenberg groups for multipartite systems Symmetries of finite Heisenberg groups for multipartite systems (en)
skos:prefLabel	Symmetries of finite Heisenberg groups for multipartite systems Symmetries of finite Heisenberg groups for multipartite systems (en)
skos:notation	RIV/68407700:21340/12:00197439!RIV13-MSM-21340___
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(LC06002), P(LC505), Z(MSM6840770039)
http://linked.open...iv/cisloPeriodika	28
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Tolar, Jiří
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	České vysoké učení technické v Praze / Fakulta jaderná a fyzikálně inženýrská
http://linked.open...dnocenehoVysledku	172805
http://linked.open...ai/riv/idVysledku	RIV/68407700:21340/12:00197439
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	finite-dimensional quantum mechanics; composite systems; Heisenberg group; normalizer (en)
http://linked.open.../riv/klicoveSlovo	Heisenberg group composite systems finite-dimensional quantum mechanics normalizer
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[DCA555B4A24B]
http://linked.open...i/riv/nazevZdroje	Journal of Physics A: Mathematical and Theoretical
http://linked.open...in/vavai/riv/obor	BE
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Doppler Institute for Mathematical Physics and Applied Mathematics Eduard Čech Center for Algebra and Geometry
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	45
http://linked.open...iv/tvurceVysledku	Tolar, Jiří Korbelář, M.
http://linked.open...ain/vavai/riv/wos	000306117200011
http://linked.open...n/vavai/riv/zamer	Matematické, počítačové a experimentální metody ve fyzice
issn	1751-8113
number of pages	18 (xsd:int)
http://bibframe.org/vocab/doi	10.1088/1751-8113/45/28/285305
http://localhost/t...ganizacniJednotka	21340

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