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Simplification of additivity conjecture in quantum information theory

Motohisa Fukuda
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Abstract

We simplify some conjectures in quantum information theory; the additivity of minimal output entropy, the multiplicativity of maximal output p-norm and the superadditivity of convex closure of output entropy. We construct a unital channel for a given channel so that they share the above additivity properties; we can reduce the conjectures for all channels to those for unital channels.

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Motohisa Fukuda. 2007-04-09. Simplification of additivity conjecture in quantum information theory. https://doi.org/10.1007/s11128-007-0051-8

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