Contextual Advantages and Certification for Maximum-Confidence Discrimination

Kieran Flatt, Hanwool Lee, Carles Roch I. Carceller, Jonatan Bohr Brask, Joonwoo Bae*

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review

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Abstract

One of the most fundamental results in quantum information theory is that no measurement can perfectly discriminate between nonorthogonal quantum states. In this work, we investigate quantum advantages for discrimination tasks over noncontextual theories by considering a maximum-confidence measurement that unifies different strategies of quantum state discrimination, including minimum-error and unambiguous discrimination. We first show that maximum-confidence discrimination, as well as unambiguous discrimination, contains contextual advantages. We then consider a semi-device-independent scenario of certifying maximum-confidence measurement. The scenario naturally contains undetected events, making it a natural setting to explore maximum-confidence measurements. We show that the certified maximum confidence in quantum theory also contains contextual advantages. Our results establish how the advantages of quantum theory over a classical model may appear in a realistic scenario of a discrimination task.

Original languageEnglish
Article number030337
JournalPRX Quantum
Volume3
Issue number3
Number of pages19
ISSN2691-3399
DOIs
Publication statusPublished - 2022

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