quantum-information-computing / Quantum information theory
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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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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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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