. "[DCA555B4A24B]" . "18"^^ . "000306117200011" . "45" . "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 . "Tolar, Ji\u0159\u00ED" . . . "Journal of Physics A: Mathematical and Theoretical" . "RIV/68407700:21340/12:00197439" . "Korbel\u00E1\u0159, M." . . "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." . . . "P(LC06002), P(LC505), Z(MSM6840770039)" . . "Symmetries of finite Heisenberg groups for multipartite systems" . . . "GB - Spojen\u00E9 kr\u00E1lovstv\u00ED Velk\u00E9 Brit\u00E1nie a Severn\u00EDho Irska" . "172805" . "2"^^ . . . . "1"^^ . "21340" . . . "RIV/68407700:21340/12:00197439!RIV13-MSM-21340___" . "10.1088/1751-8113/45/28/285305" . . "28" . "Symmetries of finite Heisenberg groups for multipartite systems" . . . "1751-8113" . "Symmetries of finite Heisenberg groups for multipartite systems"@en . "Symmetries of finite Heisenberg groups for multipartite systems"@en . . "finite-dimensional quantum mechanics; composite systems; Heisenberg group; normalizer"@en . . .