Csiszár Quantum Distances

Capital federal, Buenos Aires

Congreso; Giambiagi Winter School 2016; 2016

Csiszár?s divergences were introduced as measures of distinguishability between classical probability distributions. In this work we proposed a way for extending the Csiszár divergences to the realm of quantum information theory. We studied the properties of the resultingdistances and, from our scheme, we built a monoparametric family of metric between pure quantum states. We proposed a manner of extending these metrics for mixed quantum states and we related them with some disimilarity measures previously introduced by D. Petz.