3 problems
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Exponentially strong converse conjecture for coherent quantum channel discrimination
Exponentially strong converse conjecture. Any coherent strategy achieving a Type II error exponent larger than the regularized channel divergence…
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Equality of amortized and regularized conditional superchannel relative entropies
Conditional amortization conjecture. The inequality holds in general and is in fact an equality:
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Parallel strategies are as powerful as nested adaptive strategies for superchannel discrimination
Parallel-strategy conjecture. The asymptotic equipartition assumption for the smooth channel max-relative entropy holds in general; consequently, parallel strategies are as powerfu…