Sharp Continuity Bound for Quantum Conditional Entropy
What is the optimal uniform continuity bound for quantum conditional entropy in trace distance, depending only on the dimension of the conditioned system? The sharp bound $h_2(\delta) + \delta \log(d^2 - 1)$ up to $\delta = 1 - d^{-2}$, conjectured by Wilde, is proved.
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Occurred: Jul 27, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-co-developed. Imported under CC BY 4.0.
Canonical aliases: Sharp Continuity Bound for Quantum Conditional Entropy · Entropy continuity bound
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Registry verification: unreviewed · preprint · resolved
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VibeMathed
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ChatGPT-5.6 Sol
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