A Counterexample to Additivity of Minimum Output Entropy

Details A Counterexample to Additivity of Minimum Output Entropy A Counterexample to Additivity of Minimum Output Entropy

2008-09-23

arxiv.org/abs/0809.3972v4

Nature Physics 5, 255 (2009)

Physics

Quantum Physics

4 pages, 5 lemmas; minor typos fixed, minor changes to intro; additional typos fixed, minor clarifications; version in press,

Scientific paper

We present a random construction of a pair of channels which gives, with
non-zero probability for sufficiently large dimensions, a counterexample to the
minimum output entropy conjecture. As shown by Shor, this implies a violation
of the additivity conjecture for the classical capacity of quantum channels.
The violation of the minimum output entropy conjecture is relatively small.

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