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arxiv: 0905.3697 · v1 · pith:FZ235NGVnew · submitted 2009-05-22 · 🪐 quant-ph

Comments on Hastings' Additivity Counterexamples

classification 🪐 quant-ph
keywords hastingsproofadditivityminimaladditionboundscarefulchannels
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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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