Non-adaptive non-signaling assistance simulates quantum communication in PM scenarios with a classical dit replacing a qudit, while adaptive NS advantages are confined to single-setting receiver cases.
The Quantum Reverse Shannon Theorem based on One-Shot Information Theory
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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 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.
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quant-ph 1years
2026 1verdicts
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Non-signaling assistance in prepare-and-measure scenarios with classical communication
Non-adaptive non-signaling assistance simulates quantum communication in PM scenarios with a classical dit replacing a qudit, while adaptive NS advantages are confined to single-setting receiver cases.