Noncontextual wirings

Abstract

Contextuality is a fundamental feature of quantum theory and is necessary for quantum computation and communication. Serious steps have therefore been taken towards a formal framework for contextuality as an operational resource. However, the most important component for a resource theory - a concrete, explicit form for the free operations of contextuality - was still missing. Here we provide such a component by introducing noncontextual wirings: a physically-motivated class of contextuality-free operations with a friendly parametrization. We characterize them completely for the general case of 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.

References in corpus (7)

• A simple test for hidden variables in spin-1 system
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Cited by in corpus (29)

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• Kochen-Specker Contextuality
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• Quantifying Bell: the Resource Theory of Nonclassicality of Common-Cause Boxes
• Quantum Advantage from Sequential-Transformation Contextuality
• Resource theory of contextuality for arbitrary prepare-and-measure experiments
• Leggett-Garg macrorealism and the quantum nondisturbance conditions
• One-Shot Manipulation of Dynamical Quantum Resources
• Nonlocality of All Quantum Networks
• Contextuality in spin-orbit laser modes
• Neither Contextuality nor Nonlocality Admits Catalysts
• Quantum steering beyond instrumental causal networks
• Quantum superpositions of causal orders as an operational resource
• Graph Approach to Extended Contextuality
• Using a resource theoretic perspective to witness and engineer quantum generalized contextuality for prepare-and-measure scenarios
• Categories of Empirical Models
• Geometric-Like imaginarity: quantification and state conversion
• Closing Bell: Boxing black box simulations in the resource theory of contextuality
• The rank of contextuality
• Complementary Resource Relation of Concurrence and Roughness for atwo Qubits State
• Violating the KCBS inequality with a toy mechanism
• Quantifying the phase of quantum states
• Lifting noncontextuality inequalities
• Exposure of subtle multipartite quantum nonlocality
• Convexity of noncontextual wirings and how they order the set of correlations
• Quantum contextuality from measurement invasiveness
• Contextuality, superlocality and nonclassicality of supernoncontextuality
• Mathematical methods for resource-based type theories