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arXiv · 2510.20311

Factorizability of optimal quantum sequence discrimination under maximum-confidence measurements

Donghoon Ha·Jeong San Kim
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Abstract

We consider the discrimination of quantum sequences under maximum-confidence measurements and show that the optimal discrimination of a quantum sequence ensemble can always be factorized into that of each individual ensemble. In other words, the optimal quantum sequence discrimination under maximum-confidence measurements can be achieved just by performing a maximum-confidence discrimination independently at each step of the quantum sequence. We also show that the maximum confidence of identifying a quantum sequence is to achieve the maximum confidence of identifying each state comprising the quantum sequence. We further provide a necessary and sufficient condition for the optimal quantum state discrimination under maximum-confidence measurements.

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Donghoon Ha, Jeong San Kim. 2025-10-23. Factorizability of optimal quantum sequence discrimination under maximum-confidence measurements. https://doi.org/10.1103/gjqb-9m1l

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