Title :
The Minimum Entropy Output of a Quantum Channel Is Locally Additive
Author :
Gour, Gilad ; Friedland, Shmuel
Author_Institution :
Dept. of Math. & Stat., Univ. of Calgary, Calgary, AB, Canada
Abstract :
We show that the minimum von Neumann entropy output of a quantum channel is locally additive. Hastings´ counterexample for the additivity conjecture makes this result quite surprising. In particular, it indicates that the nonadditivity of the minimum entropy output is a global effect of quantum channels.
Keywords :
entropy; quantum entanglement; additivity conjecture; global effect; hastings counterexample; locally additive; minimum von Neumann entropy output; quantum channel; Additives; Educational institutions; Entropy; Helium; Quantum computing; Quantum mechanics; Taylor series; Additivity conjecture; quantum channel capacity; quantum channels; quantum entanglement;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2012.2210859