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arxiv: 1012.2650 · v7 · pith:64LKQATRnew · submitted 2010-12-13 · 🪐 quant-ph

A quantum version of randomization criterion

classification 🪐 quant-ph
keywords importantquantumrandomizationanalogueapplyclassicalcomparisonconcepts
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In classical statistical decision theory, comparison of experiments plays very important role. Especially, so-called randomization criteria is most important. In this paper, we establish two kinds of quantum analogue these concepts, and apply to some examples.

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  1. Quantum Noncommutativity Uniquely Determines Relative Entropy

    quant-ph 2026-07 unverdicted novelty 7.0

    Quantum noncommutativity uniquely selects the Umegaki relative entropy as the only additive measure compatible with single-shot optimal discrimination in binary guessing games.