Journal
PHYSICAL REVIEW LETTERS
Volume 120, Issue 13, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.120.130403
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Funding
- Brazilian ministry MEC
- Brazilian ministry MCTIC
- Brazilian agency CNPq
- Brazilian agency CAPES
- Brazilian agency FAEPEX
- Brazilian agency FAPERJ
- Brazilian agency FAPESP
- Brazilian agency INCT-IQ
- FEDER funds [FIS2014-60843-P]
- FQXi Large Grant
- project Photonic Quantum Information (Knut and Alice Wallenberg Foundation, Sweden)
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Contextuality is a fundamental feature of quantum theory necessary for certain models of quantum computation and communication. Serious steps have therefore been taken towards a formal framework for contextuality as an operational resource. However, the main ingredient of a resource theory-a concrete, explicit form of free operations of contextuality-was still missing. Here we provide such a component by introducing noncontextual wirings: a class of contextuality-free operations with a clear operational interpretation and a friendly parametrization. We characterize them completely for general black-box measurement devices with arbitrarily many inputs and outputs. As applications, we show that the relative entropy of contextuality is a contextuality monotone and that maximally contextual boxes that serve as contextuality bits exist for a broad class of scenarios. Our results complete a unified resource-theoretic framework for contextuality and Bell nonlocality.
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