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Counterexamples to Additivity of Minimum Output p-Rényi Entropy for p Close to 0

  • Published:2008-09-10 Issue:1 Volume:284 Page:281-290
  • ISSN:0010-3616
  • Container-title:Communications in Mathematical Physics
  • language:en
  • Short-container-title:Commun. Math. Phys.

Author:

Cubitt Toby,Harrow Aram W.,Leung Debbie,Montanaro Ashley,Winter Andreas

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference15 articles.

1. Shor P.W.: Additivity of the classical capacity of entanglement-breaking quantum channels. J. Math. Phys. 43, 4334–4340 (2002)

2. King, C.: Maximization of capacity and p-norms for some product channels. http://arXiv.org/list/quant-ph/0103086 (2001)

3. King C.: Additivity for unital qubit channels. J. Math. Phys. 43, 4641–4653 (2000)

4. King C.: The capacity of the quantum depolarizing channel. IEEE Trans. Inf. Theory 49, 221–229 (2003)

5. King, C.: Announced at the 1st joint AMS-PTM meeting, Warsaw 31 July – 3 Aug (2007)

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