Contextuality with vanishing coherence and maximal robustness to dephasing

Abstract

Generalized contextuality is a resource for a wide range of communication and information processing protocols. However, contextuality is not possible without coherence, and so can be destroyed by dephasing noise. Here, we explore the robustness of contextuality to partially dephasing noise in a scenario related to state discrimination (for which contextuality is a resource). We find that a vanishing amount of coherence is sufficient to demonstrate the failure of noncontextuality in this scenario, and we give a proof of contextuality that is robust to arbitrary amounts of partially dephasing noise. This is in stark contrast to partially depolarizing noise, which is always sufficient to destroy contextuality.

arXiv comment12 pages, 7 figures. Comments are welcome!

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Cited by in corpus (12)

• A simple proof that anomalous weak values require coherence
• Experimental certification of contextuality, coherence and dimension in a programmable universal photonic processor
• Kirkwood-Dirac representations beyond quantum states (and their relation to noncontextuality)
• A linear program for testing nonclassicality and an open-source implementation
• Using a resource theoretic perspective to witness and engineer quantum generalized contextuality for prepare-and-measure scenarios
• Contextuality in anomalous heat flow
• No-broadcasting characterizes operational contextuality
• Contextuality witness inspired by optimal state discrimination
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• Constrained Measurement Incompatibility from Generalised Contextuality of Steered Preparation
• Robustness of contextuality under different types of noise as quantifiers for parity-oblivious multiplexing tasks
• Decoupling local classicality from classical explainability: A noncontextual model for bilocal classical theory and a locally-classical but contextual theory