XXXIV Workshop on Geometric Methods in Physics 28.06-4.07.2015

Ichiro Fujimoto

Entropy of completely positive maps and applications to quantum information theory

In scope of CP-convexity which describes quantum entanglement, we study mathematical structure of quantum interactions, and propose new entropy, which we call “atomic entropy”, for completely positive maps. Applying this notion, we propose new information quantities which recover the natural meaning and inequalities in the quantum information theory.

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