Quantum Reverse Shannon Theorem Simplified

• URL: http://arxiv.org/abs/2510.04552v2
• Date: Wed, 08 Oct 2025 08:51:18 GMT
• Title: Quantum Reverse Shannon Theorem Simplified
• Authors: Gilad Gour,
• Abstract summary: We revisit the quantum reverse Shannon theorem, a central result in quantum information theory.<n>We derive a universal additive upper bound on the smoothed max-information in terms of the sandwiched R'enyi mutual information.
• Score: 2.7074235008521246
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We revisit the quantum reverse Shannon theorem, a central result in quantum information theory that characterizes the resources needed to simulate quantum channels when entanglement is freely available. We derive a universal additive upper bound on the smoothed max-information in terms of the sandwiched R\'enyi mutual information. This bound yields tighter single-shot results, eliminates the need for the post-selection technique, and leads to a conceptually simpler proof of the quantum reverse Shannon theorem. By consolidating and streamlining earlier approaches, our result provides a clearer and more direct understanding of the resource costs of simulating quantum channels.

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