Quantum noncommutativity uniquely selects the Umegaki relative entropy as the only additive measure compatible with single-shot optimal discrimination in binary guessing games.
A quantum version of randomization criterion
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abstract
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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2026 1verdicts
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Quantum Noncommutativity Uniquely Determines Relative Entropy
Quantum noncommutativity uniquely selects the Umegaki relative entropy as the only additive measure compatible with single-shot optimal discrimination in binary guessing games.