Comments on Hastings' Additivity Counterexamples

Details Comments on Hastings' Additivity Counterexamples Comments on Hastings' Additivity Counterexamples

2009-05-22

arxiv.org/abs/0905.3697v1

Physics

Quantum Physics

38 pages

Scientific paper

Hastings recently provided a proof of the existence of channels which violate
the additivity conjecture for minimal output entropy. In this paper we present
an expanded version of Hastings' proof. In addition to a careful elucidation of
the details of the proof, we also present bounds for the minimal dimensions
needed to obtain a counterexample.

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