We derive the second-order asymptotics of randomness extraction from memoryless sources with side information under security criteria based on a broad class of Csisz\`ar f-divergences, treating both a fixed reference side-information marginal and optimization over that marginal. The conditional varentropy decomposes in...
Mario Berta, Hao-Chung Cheng, M. Tomamichel· 1 citation
Universal channel coding enables communication without a complete description of the channel. For classical channels, universal codes can attain both capacity and the optimal high-rate reliability. We show that this compatibility fails for classical-quantum channels in general; that is, the optimal reliability in the c...
Kaito Watanabe, Masahito Hayashi, Takaya Matsuura et al.· 0 citations
We determine the strong converse exponent for the entanglement cost of quantum state merging, showing that it is characterized by the optimized $\alpha$-$z$ conditional R\'enyi entropies with $z=\alpha/2\in[1/2,1]$. This contrasts with the sandwiched conditional R\'enyi entropies that typically govern strong converse e...
Mario Berta, Hao-Chung Cheng, Roberto Rubboli et al.· 2 citations· ⚡1
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