The Quantum Reverse Shannon Theorem Based on One-Shot Information Theory

By Mario Berta, Matthias Christandl, Renato Renner. 2009

246 citations recorded by the source corpus.

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 paper, we provide a new proof of this theorem, which has previously been proved by Bennett, Devetak, Harrow, Shor, and Winter. Our proof has a clear structure being based on two recent information-theoretic results: one-shot Quantum State Merging and the Post-Selection Technique for quantum channels.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/2a0b714c70ae006472010552f74b24dccee5e4df

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Exponential Decay of Correlations Implies Area Law (2012, methodology): “…systems by performing a random measurement in one of them – an idea that has been used to derive the best known protocols for a variety of information theoretic tasks [43, 52, 53, 55, 56, 65, 66]) – as well as recent developments in the framework of single-shot quantum information theory [37, 60].”
Faithful Squashed Entanglement (2010, background): “The same argument applied to the mutual information instead of the relative entropy of entanglement can be used to prove the converse of state redistribution (see [75, 76 ] for a similar argument in the context of one-shot quantum state splitting).”