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

  • Author(s): Fukuda, Motohisa
  • King, Christopher
  • Moser, David
  • et al.

Published Web Location

https://arxiv.org/pdf/0905.3697.pdf
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Abstract

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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