From no-signalling to quantum states

• URL: http://arxiv.org/abs/2204.11471v1
• Date: Mon, 25 Apr 2022 07:06:17 GMT
• Title: From no-signalling to quantum states
• Authors: Markus Frembs, Andreas D\"oring
• Abstract summary: Characterising quantum correlations from physical principles is a central problem in the field of quantum information theory. We suggest a natural generalisation of no-signalling in the form of no-disturbance to dilated systems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Characterising quantum correlations from physical principles is a central problem in the field of quantum information theory. Entanglement breaks bounds on correlations put by Bell's theorem, thus challenging the notion of local causality as a physical principle. A natural relaxation is to study no-signalling as a constraint on joint probability distributions. It has been shown that when considered with respect to so-called locally quantum observables, bipartite non-signalling correlations never exceed their quantum counterparts; still, such correlations generally do not derive from quantum states. This leaves open the search for additional principles which identify quantum states within the larger set of (collections of) non-signalling joint probability distributions over locally quantum observables. Here, we suggest a natural generalisation of no-signalling in the form of no-disturbance to dilated systems. We prove that non-signalling joint probability distributions satisfying this extension correspond with bipartite quantum states up to a choice of time orientation in subsystems.

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