On Symmetric Sets of Projectors for Reconstruction of a Density Matrix

dc.creatorVlasov, Alexander Yu.
dc.date2003-02-10
dc.date.accessioned2026-07-07T06:06:06Z
dc.date.available2026-07-07T06:06:06Z
dc.descriptionIn this work are presented sets of projectors for reconstruction of a density matrix for an arbitrary mixed state of a quantum system with the finite-dimensional Hilbert space. It was discussed earlier [quant-ph/0104126] a construction with (2n-1)n projectors for the dimension n. For n=2 it is a set with six projectors associated with eigenvectors of three Pauli matrices, but for n>2 the construction produces not such a `regular' set. In this paper are revisited some results of previous work [quant-ph/0104126] and discussed another, more symmetric construction with the Weyl matrix pair (as the generalization of Pauli matrices). In the particular case of prime n it is the mutually unbiased set with (n+1)n projectors. In appendix is shown an example of application of complete sets for discussions about separability and random robustness.
dc.descriptionLaTeXe, 6 pages, 2 col
dc.identifierhttps://arxiv.org/abs/quant-ph/0302064
dc.identifierhttp://arxiv.org/abs/quant-ph/0302064
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90859
dc.subjectQuantum Physics
dc.titleOn Symmetric Sets of Projectors for Reconstruction of a Density Matrix
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