Mutually unbiased bases, orthogonal Latin squares, and hidden-variable models

Simple item page
dc.creatorPaterek, Tomasz
dc.creatorDakic, Borivoje
dc.creatorBrukner, Caslav
dc.date2008-04-14
dc.date2009-01-19
dc.date.accessioned2026-07-07T12:30:52Z
dc.date.available2026-07-07T12:30:52Z
dc.descriptionMutually unbiased bases encapsulate the concept of complementarity - the impossibility of simultaneous knowledge of certain observables - in the formalism of quantum theory. Although this concept is at the heart of quantum mechanics, the number of these bases is unknown except for systems of dimension being a power of a prime. We develop the relation between this physical problem and the mathematical problem of finding the number of mutually orthogonal Latin squares. We derive in a simple way all known results about the unbiased bases, find their lower number, and disprove the existence of certain forms of the bases in dimensions different than power of a prime. Using the Latin squares, we construct hidden-variable models which efficiently simulate results of complementary quantum measurements.
dc.descriptionPublished version
dc.identifierhttps://arxiv.org/abs/0804.2193
dc.identifierhttp://arxiv.org/abs/0804.2193
dc.identifierPhys. Rev. A 79, 012109 (2009)
dc.identifierdoi:10.1103/PhysRevA.79.012109
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216269
dc.subjectQuantum Physics
dc.titleMutually unbiased bases, orthogonal Latin squares, and hidden-variable models
dc.typetext

Files

Collections

arXiv