Open AccessJournal Article
Quantum generalization of conditional entropy and information
TLDR
In this paper, the authors generalized the concepts of conditional entropy of a physical system given the state of another system and of information in a physical systems about another one to the quantum case and showed that the entropy and information in quantum systems depend on the choice of measurements performed over the systems.Abstract:
The concepts of conditional entropy of a physical system given the state of another system and of information in a physical system about another one are generalized for quantum one is that the entropy and information in quantum systems.The fundamental difference between the classical case and the quantum one is that the entropy and information in quantum systems depend on the choice of measurements performed over the systems. It is shown that some equalities of the classical information theory turn into inequalities for the generalized quantities. Specific quantum phenomena such as EPR pairs and superdense coding are described and explained in terms of the generalized conditional entropy and information.read more
Citations
More filters
Journal ArticleDOI
The capacity of the quantum multiple-access channel
TL;DR: A second issue of this work is the presentation of a calculus of quantum information quantities, based on the algebraic formulation of quantum theory, which is applied to the case of noisy channels, with arbitrary input signal states.
Journal ArticleDOI
On a Quantum Version of Shannon's Conditional Entropy
TL;DR: In this article, a quantum version of Shannon's conditional entropy is proposed, which is a quantum analogue of the classical conditional entropy inequality, and it is shown that S(ρ | σ) = 0 if and only if the nonvanishing eigenvalues of ρ are all non-degenerate.
Journal ArticleDOI
On a quantum version of Shannon's conditional entropy
TL;DR: In this paper, a quantum version of Shannon's conditional entropy is proposed, which is concave in the density matrices of the density matrix and satisfies the quantum analogue of Shannon inequality.