arXiv 2202.124332022-02quant-ph

On distinguishability distillation and dilution exponents

Mark M. Wilde

备注：: v2: 29 pages, minor changes, published in Quantum Information Processing
发表信息：: Quantum Information Processing, vol. 21, no. 12, Article number 392, December 2022
DOI：: 10.1007/s11128-022-03735-y

英文摘要：

In this note, I define error exponents and strong converse exponents for the tasks of distinguishability distillation and dilution. These are counterparts to the one-shot distillable distinguishability and the one-shot distinguishability cost, as previously defined in the resource theory of asymmetric distinguishability. I show that they can be evaluated by semi-definite programming, establish a number of their properties, bound them using Renyi relative entropies, and relate them to each other.

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