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  • 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. (en)
Title
  • Symmetries of finite Heisenberg groups for k-partite systems
  • Symmetries of finite Heisenberg groups for k-partite systems (en)
skos:prefLabel
  • Symmetries of finite Heisenberg groups for k-partite systems
  • Symmetries of finite Heisenberg groups for k-partite systems (en)
skos:notation
  • RIV/00216224:14310/12:00072680!RIV14-MSM-14310___
http://linked.open...avai/riv/aktivita
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  • P(LC505)
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  • 172803
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  • RIV/00216224:14310/12:00072680
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  • mutually unbiased bases; quantum-mechanics; hilbert-space; construction (en)
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  • [AAD66FFC2B9D]
http://linked.open...v/mistoKonaniAkce
  • Prague, Czech Republic
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  • Great Britain
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  • 7th International Conference on Quantum Theory and Symmetries (QTS7), 7–13 August 2011, Prague, Czech Republic
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  • Tolar, Jiří
  • Korbelář, Miroslav
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  • 000301174100121
http://linked.open.../riv/zahajeniAkce
issn
  • 1742-6588
number of pages
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  • 10.1088/1742-6596/343/1/012122
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  • Institute of Physics
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  • 14310
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