Quantum Reverse Shannon Theorem Simplified
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911196847800320 |
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| author | Gour, Gilad |
| author_facet | Gour, Gilad |
| contents | 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 Rényi 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_04552 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum Reverse Shannon Theorem Simplified Gour, Gilad Quantum Physics Information Theory Mathematical Physics 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 Rényi 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. |
| title | Quantum Reverse Shannon Theorem Simplified |
| topic | Quantum Physics Information Theory Mathematical Physics |
| url | https://arxiv.org/abs/2510.04552 |