Noncontextual Wirings

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 concre...

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Detalhes bibliográficos
Autores: Amaral, Barbara, Cabello, Adán, Cunha, Marcelo Terra, Aolita, Leandro [UNESP]
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2018
País:Brasil
Recursos:Universidade Estadual Paulista (UNESP)
Repositorio:Repositório Institucional da UNESP
Idioma:inglés
OAI Identifier:oai:repositorio.unesp.br:11449/176112
Acesso em linha:http://dx.doi.org/10.1103/PhysRevLett.120.130403
http://hdl.handle.net/11449/176112
Access Level:acceso abierto
Descrição
Resumo: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.