Higher-order incompatibility improves distinguishability of causal quantum networks

Higher-order quantum theory deals with causal quantum processes, described by quantum combs, and test procedures, described by quantum testers, ``measuring" these processes. In this work, we show that ``jointly non-implementable" or incompatible quantum testers perform better in distinguis...

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Bibliographic Details
Published in:New journal of physics 2024-12, Vol.26 (12), p.123003
Main Authors: Sudarsanan Ragini, Nidhin, Sazim, Sk
Format: Article
Language:English
Subjects:
higher-order transformations
Incompatibility
quantum discrimination
quantum incompatibility
quantum networks
Quantum theory
Online Access:Get full text
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Summary:Higher-order quantum theory deals with causal quantum processes, described by quantum combs, and test procedures, described by quantum testers, ``measuring" these processes. In this work, we show that ``jointly non-implementable" or incompatible quantum testers perform better in distinguishability tasks than their compatible counterparts. To demonstrate our finding, we consider a specific two-party game based on distinguishing quantum combs. We show that the player does better at winning the game when they have exclusive access to incompatible testers over compatible ones. Moreover, we show that, using the resource theoretic measure convex weight, any general quantum resource present in testers is resourceful in quantum comb exclusion tasks. These investigations generalise, respectively, an earlier finding that incompatibility of quantum observables to be a bona fide resource in quantum state distinguishability tasks and another finding that any resource present in observables result in improved performance in state exclusion or antidistinguishability tasks.
ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/ad93f6