Exact exponents for smoothing the max-relative entropy and quantum information decoupling in von Neumann algebras

arXiv:2607.07997 · cs.IT, math.IT, math.OA, quant-ph · Submitted 2026-07-09 · Read on arXiv

cs.IT, math.IT, math.OA, quant-ph

Submitted: 2026-07-09

Updated: 2026-09-17

Terminology

• Decoupling — 42× in this paper · explained in 2 episodes
• Trace — 15× in this paper · explained in 2 episodes
• Fidelity — 7× in this paper · explained in 2 episodes
• Hilbert Space — 5× in this paper · explained in 2 episodes
• Additivity — 3× in this paper · explained in 1 episode
• Homogeneity — 2× in this paper · explained in 2 episodes
• Quantum Circuits — 2× in this paper · explained in 2 episodes
• Embeddings — 1× in this paper · explained in 2 episodes
• Entanglement — 1× in this paper · explained in 4 episodes
• Error Exponents — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes

Sources

• Sharp estimates of quantum covering problems via a novel trace inequality
• Tight any-shot quantum decoupling
• Strong converse rate for asymptotic hypothesis testing in type III

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