The Contextual Fraction as a Measure of Entanglement

• URL: http://arxiv.org/abs/2403.06896v1
• Date: Mon, 11 Mar 2024 16:50:08 GMT
• Title: The Contextual Fraction as a Measure of Entanglement
• Authors: Tim Chan and Andrei Constantin
• Abstract summary: We first show that any separable state is necessarily non-contextual, regardless of the measurement scenario. For bipartite states we associate a distinguished empirical model and show that the corresponding contextual fraction is positively correlated with the entanglement entropy of the state.
• Score: 0.18130068086063336
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The contextual fraction introduced by Abramsky and Brandenburger defines a quantitative measure of contextuality associated with empirical models, i.e. tables of probabilities of measurement outcomes in experimental scenarios. In this paper we define a measure of entanglement relying on the contextual fraction. We first show that any separable state is necessarily non-contextual, regardless of the measurement scenario. Then, for bipartite states we associate a distinguished empirical model and show that the corresponding contextual fraction is positively correlated with the entanglement entropy of the state, suggesting that contextuality may be regarded as a refinement of entanglement.

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