Using a resource theoretic perspective to witness and engineer quantum generalized contextuality for prepare-and-measure scenarios
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Published:2023-11-27
Issue:50
Volume:56
Page:505303
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ISSN:1751-8113
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Container-title:Journal of Physics A: Mathematical and Theoretical
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language:
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Short-container-title:J. Phys. A: Math. Theor.
Author:
Wagner RafaelORCID,
Baldijão Roberto DORCID,
Tezzin AlissonORCID,
Amaral BárbaraORCID
Abstract
Abstract
We employ the resource theory of generalized contextuality as a tool for analyzing the structure of prepare-and-measure scenarios. We argue that this framework simplifies proofs of quantum contextuality in complex scenarios and strengthens existing arguments regarding robustness of experimental implementations. As a case study, we demonstrate quantum contextuality associated with any nontrivial noncontextuality inequality for a class of useful scenarios by noticing a connection between the resource theory and measurement simulability. Additionally, we expose a formal composition rule that allows engineering complex scenarios from simpler ones. This approach provides insights into the noncontextual polytope structure for complex scenarios and facilitates the identification of possible quantum violations of noncontextuality inequalities.
Funder
Instituto Serrapilheira, Chamada 2020
National Council for the Improvement of Higher Education
São Paulo Research Foundation
National Council for Scientific and Technological Development
Subject
General Physics and Astronomy,Mathematical Physics,Modeling and Simulation,Statistics and Probability,Statistical and Nonlinear Physics
Cited by
1 articles.
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