INVESTIGADORES
LAMBERTI Pedro Walter
artículos
Título:
Quantum metrics based upon classical Jensen?Shannon divergence
Autor/es:
OSÁN, TRISTÁN M.; BUSSANDRI, D. G.; LAMBERTI, P. W.
Revista:
PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS
Editorial:
ELSEVIER SCIENCE BV
Referencias:
Lugar: Amsterdam; Año: 2022 vol. 594 p. 1 - 12
ISSN:
0378-4371
Resumen:
Jensen?Shannon divergence is an important distinguishability measure between proba-bility distributions that finds interesting applications within the context of InformationTheory. In particular, this classical divergence belongs to a remarkable class of diver-gences known as Csiszár or f -divergences. In this paper we analyze the problem ofobtaining a distance measure between two quantum states starting from the classicalJensen?Shannon divergence between two probability distributions. Considering theJensen?Shannon divergence as a Csiszár divergence, we first focus on the problem ofdistinguishability between two pure quantum states. We find a quantum version ofthe classical Jensen?Shannon divergence that differs from the previously introducedQuantum Jensen?Shannon Divergence. The two quantum versions of Jensen?Shannondivergence have different interpretations within the framework of Quantum InformationTheory. Whereas the former quantum version of Jensen?Shannon divergence can beinterpreted as the Holevo bound, the alternative quantum version obtained in this workequals the accessible information. Furthermore, we obtain a monoparametric family ofmetrics between two quantum pure states. Finally, we extend this family of metrics tothe case of mixed quantum states by means of the concept of purification.