Inequalities for quantum skew information

Simple item page
dc.creatorAudenaert, Koenraad
dc.creatorCai, Liang
dc.creatorHansen, Frank
dc.date2008-03-07
dc.date2008-07-22
dc.date.accessioned2026-07-07T10:13:31Z
dc.date.available2026-07-07T10:13:31Z
dc.descriptionWe study quantum information inequalities and show that the basic inequality between the quantum variance and the metric adjusted skew information generates all the multi-operator matrix inequalities or Robertson type determinant inequalities studied by a number of authors. We introduce an order relation on the set of functions representing quantum Fisher information that renders the set into a lattice with an involution. This order structure generates new inequalities for the metric adjusted skew informations. In particular, the Wigner-Yanase skew information is the maximal skew information with respect to this order structure in the set of Wigner-Yanase-Dyson skew informations. Key words and phrases: Quantum covariance, metric adjusted skew information, Robertson-type uncertainty principle, operator monotone function, Wigner-Yanase-Dyson skew information.
dc.identifierhttps://arxiv.org/abs/0803.1056
dc.identifierhttp://arxiv.org/abs/0803.1056
dc.identifierLett. Math. Phys. (2008) 85:135-146
dc.identifierdoi:10.1007/s11005-008-0269-0
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172560
dc.subjectMathematical Physics
dc.titleInequalities for quantum skew information
dc.typetext

Files

Collections

arXiv