Wootters´distance revisited: a new distinguishability criterium

ANA MAJTEY; PEDRO W. LAMBERTI; MARÍA T. MARTIN; ANGEL PLASTINO

EUROPEAN PHYSICAL JOURNAL D

Springer Verlag

Año: 2004 vol. 32 p. 413 - 419

1434-6060

The notion of distinguishability between quantum states has shown to be fundamental in the frame of quantum information theory. In this paper we present a new distinguishability criterium by using a information theoretic quantity: the Jensen-Shannon divergence (JSD). This quantity has several interesting properties, both from a conceptual and a formal point of view. Previous to define this distinguishability criterium, we review some of the most frequently used distances defined over quantum mechanics’ Hilbert space. In this point our main claim is that the JSD can be taken as a unifying distance between quantum states.