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A Conceptually Simple Proof of the Quantum Reverse Shannon Theorem

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Theory of Quantum Computation, Communication, and Cryptography (TQC 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6519))

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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.

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Berta, M., Christandl, M., Renner, R. (2011). A Conceptually Simple Proof of the Quantum Reverse Shannon Theorem. In: van Dam, W., Kendon, V.M., Severini, S. (eds) Theory of Quantum Computation, Communication, and Cryptography. TQC 2010. Lecture Notes in Computer Science, vol 6519. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18073-6_11

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  • DOI: https://doi.org/10.1007/978-3-642-18073-6_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-18072-9

  • Online ISBN: 978-3-642-18073-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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