Quantum information as a non-Kolmogorovian generalization of Shannon?s theory

FEDERICO HOLIK; GUSTAVO BOSYK; GUIDO BELLOMO

ENTROPY

MOLECULAR DIVERSITY PRESERVATION INTERNATIONAL-MDPI

Lugar: Basel; Año: 2015

1099-4300

In this article we discuss the formal structure of a generalized information theory based on the extension of the probability calculus of Kolmogorov to a (possibly) non-commutative setting. By studying this framework, we argue that quantum information can be considered as a particular case of a huge family of non-commutative extensions of its classical counterpart. In any conceivable information theory, the possibility of dealing with different kinds of informationmeasures plays a key role. Here, we generalize a notion of state 6spectrum, allowing us to introduce a majorization relation and a new family of generalized entropic measures.