A conceptually simple proof of the quantum reverse Shannon theorem

  • Authors:
  • Mario Berta;Matthias Christandl;Renato Renner

  • Affiliations:
  • Institute for Theoretical Physics, ETH Zurich, Zurich, Switzerland and Faculty of Physics, Ludwig-Maximilians-Universität München, Munich, Germany;Institute for Theoretical Physics, ETH Zurich, Zurich, Switzerland and Faculty of Physics, Ludwig-Maximilians-Universität München, Munich, Germany;Institute for Theoretical Physics, ETH Zurich, Zurich, Switzerland

  • Venue:
  • TQC'10 Proceedings of the 5th conference on Theory of quantum computation, communication, and cryptography
  • Year:
  • 2010

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Abstract

The Quantum Reverse Shannon Theorem states that any quantum channel can be simulated by an unlimited amount of shared entanglement and an amount of classical communication equal to the channel's entanglement assisted classical capacity. In this extended abstract, we summarize a new and conceptually simple proof of this theorem [journal reference: arXiv.org:quant-ph/0912.3805], which has previously been proved in [Bennett et al., arXiv.org:quant-ph/0912.5537]. Our proof is based on optimal one-shot Quantum State Merging and the Post-Selection Technique for quantum channels.