Group theoretical construction of mutually unbiased bases in Hilbert spaces of prime dimensions

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dc.creatorSulc, P.
dc.creatorTolar, J.
dc.date2007-08-30
dc.date2007-11-05
dc.date.accessioned2026-07-07T08:47:51Z
dc.date.available2026-07-07T08:47:51Z
dc.descriptionMutually unbiased bases in Hilbert spaces of finite dimensions are closely related to the quantal notion of complementarity. An alternative proof of existence of a maximal collection of N+1 mutually unbiased bases in Hilbert spaces of prime dimension N is given by exploiting the finite Heisenberg group (also called the Pauli group) and the action of SL(2,Z_N) on finite phase space Z_N x Z_N implemented by unitary operators in the Hilbert space. Crucial for the proof is that, for prime N, Z_N is also a finite field.
dc.description13 pages; accepted in J. Phys. A: Math. Theor
dc.identifierhttps://arxiv.org/abs/0708.4114
dc.identifierhttp://arxiv.org/abs/0708.4114
dc.identifierJ. Phys. A: Math. Theor. 40 (2007), 15099-15111
dc.identifierdoi:10.1088/1751-8113/40/50/013
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143745
dc.subjectQuantum Physics
dc.titleGroup theoretical construction of mutually unbiased bases in Hilbert spaces of prime dimensions
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