On orthostochastic, unistochastic and qustochastic matrices

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dc.creatorChterental, Oleg
dc.creatorDjokovic, Dragomir Z.
dc.date2007-08-30
dc.date.accessioned2026-07-07T12:52:58Z
dc.date.available2026-07-07T12:52:58Z
dc.descriptionWe introduce qustochastic matrices as the bistochastic matrices arising from quaternionic unitary matrices by replacing each entry with the square of its norm. This is the quaternionic analogue of the unistochastic matrices studied by physicists. We also introduce quaternionic Hadamard matrices and quaternionic mutually unbiased bases (MUB). In particular we show that the number of MUB in an n-dimensional quaternionic Hilbert space is at most 2n+1. The bound is attained for n=2. We also determine all quaternionic Hadamard matrices of size at most 4.
dc.description29 pages, no figures, 5 open problems
dc.identifierhttps://arxiv.org/abs/0708.4051
dc.identifierhttp://arxiv.org/abs/0708.4051
dc.identifierLinear Algebra and Its Applications 428 (2008), 1178-2001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223469
dc.subjectMathematical Physics
dc.subject81P68; 52B11
dc.titleOn orthostochastic, unistochastic and qustochastic matrices
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