Incompatibility in restricted operational theories: connecting contextuality and steering

Abstract

We investigate the connection between steering and contextuality in general probabilistic theories. We show that for a class of bipartite states the steerability of the state by given set of measurements is equivalent to non-existence of preparation noncontextual hidden variable model for certain restricted theory constructed from the given state and measurements. The connection between steering and contextuality is provided by the concept of incompatibility in restricted theories, which we also investigate.

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Cited by in corpus (8)

• Contextuality as a Precondition for Quantum Entanglement
• Testing quantum theory by generalizing noncontextuality
• No-broadcasting characterizes operational contextuality
• Self-testing of multiple unsharpness parameters through sequential violations of non-contextual inequality
• Tsirelson's Inequality for the Precession Protocol is Maximally Violated by Quantum Theory
• Symmetries and Wigner representations of operational theories
• On compatibility of binary qubit measurements
• Comparing quantum incompatibility of device sets from an operational perspective