Noncontextual wirings.
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2018
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Abstract
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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AMARAL, B. L. et al. Noncontextual wirings. Physical Review Letters, v. 120, p. 130403, mar. 2018. Disponível em: <https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.120.130403>. Acesso em: 16 jun. 2018.