A new type-constrained de Finetti reduction is proven for classical distributions and used to show that prior-free quantum information cost equals worst-case input amortized quantum communication cost.
The quantum reverse Shannon theorem based on one-shot information theory,
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The direct exponent in binary quantum state discrimination for correlation detection equals the doubly minimized Petz Renyi mutual information for alpha in (1/2,1), while the strong converse exponent equals the doubly minimized sandwiched version for alpha in (1,infty).
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Asymptotic Compression of Interactive Quantum Communication using Type-Constrained de Finetti Reduction
A new type-constrained de Finetti reduction is proven for classical distributions and used to show that prior-free quantum information cost equals worst-case input amortized quantum communication cost.
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Doubly minimized Petz and sandwiched Renyi mutual information: Operational interpretation from binary quantum state discrimination
The direct exponent in binary quantum state discrimination for correlation detection equals the doubly minimized Petz Renyi mutual information for alpha in (1/2,1), while the strong converse exponent equals the doubly minimized sandwiched version for alpha in (1,infty).