Contextuality-enhanced quantum state discrimination under fixed failure probability

• URL: http://arxiv.org/abs/2602.19397v1
• Date: Mon, 23 Feb 2026 00:13:27 GMT
• Title: Contextuality-enhanced quantum state discrimination under fixed failure probability
• Authors: Min Namkung, Hyang-Tag Lim,
• Abstract summary: We show contextuality enhancement in quantum state discrimination under a fixed failure probability.<n>We extend the discussion to the noisy state discrimination, which even encompasses the maximal-confidence discrimination.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum state discrimination enables the accurate identification of quantum states, which are generally nonorthogonal. Among various strategies, minimum-error discrimination and unambiguous state discrimination exhibit contextuality-enhanced success probabilities that surpass classical bounds, offering significant advantages for quantum sensing and communication. However, in practice, both error and failure outcomes can occur, suggesting the need for a unified strategy that incorporates both aspects while exploring the potential for contextuality enhancement. In this work, we theoretically demonstrate contextuality enhancement in quantum state discrimination under a fixed failure probability. We show that this enhancement disappears within a certain intermediate range of failure probabilities--a phenomenon absent in conventional strategies, where both minimum-error and unambiguous discrimination consistently outperform the noncontextual bound for equal priors. Moreover, we analyze how the existence of this non-enhancement region depends on the confusability of the quantum states, which corresponds to their fidelity in a quantum model. We further extend the discussion to the noisy state discrimination, which even encompasses the maximal-confidence discrimination. In this extended discussion, we observe that the non-enhancement region tends to disappear with increasing noise strength.

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