Classicality in discrete Wigner functions

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dc.creatorCormick, Cecilia
dc.creatorGalvao, Ernesto F.
dc.creatorGottesman, Daniel
dc.creatorPaz, Juan Pablo
dc.creatorPittenger, Arthur O.
dc.date2005-06-27
dc.date.accessioned2026-07-07T06:24:43Z
dc.date.available2026-07-07T06:24:43Z
dc.descriptionGibbons et al. [Phys. Rev. A 70, 062101(2004)] have recently defined a class of discrete Wigner functions W to represent quantum states in a Hilbert space with finite dimension. We show that the only pure states having non-negative W for all such functions are stabilizer states, as conjectured by one of us [Phys. Rev. A 71, 042302 (2005)]. We also show that the unitaries preserving non-negativity of W for all definitions of W form a subgroup of the Clifford group. This means pure states with non-negative W and their associated unitary dynamics are classical in the sense of admitting an efficient classical simulation scheme using the stabilizer formalism.
dc.description10 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/quant-ph/0506222
dc.identifierhttp://arxiv.org/abs/quant-ph/0506222
dc.identifierPhys. Rev. A 73, 012301 (2006)
dc.identifierdoi:10.1103/PhysRevA.73.012301
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96643
dc.subjectQuantum Physics
dc.titleClassicality in discrete Wigner functions
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