The role of non-classicality in mediated spatial quantum correlations

• URL: http://arxiv.org/abs/2410.00824v1
• Date: Tue, 1 Oct 2024 16:07:04 GMT
• Title: The role of non-classicality in mediated spatial quantum correlations
• Authors: Salvatore Raia, Giuseppe Di Pietra, Chiara Marletto,
• Abstract summary: The study of non-classicality is essential to understand the quantum-to-classical transition in physical systems. We propose a new inequality that quantitatively links the increase in quantum correlations between the probes to the degree of non-commutativity of the mediator's observables.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The study of non-classicality is essential to understand the quantum-to-classical transition in physical systems. Recently a witness of non-classicality has been proposed, linking the ability of a system (``the mediator") to create quantum correlations between two quantum probes with its non-classicality, intended as the existence of at least two non-commuting variables. Here we propose a new inequality that quantitatively links the increase in quantum correlations between the probes to the degree of non-commutativity of the mediator's observables. We test the inequality for various degrees of non-classicality of the mediator, from fully quantum to fully classical. This quantum-to-classical transition is simulated via a phase-flip channel applied to the mediator, inducing an effective reduction of the non-commutativity of its variables. Our results provide a general framework for witnessing non-classicality, quantifying the non-classicality of a system via its intrinsic properties (such as its Hilbert space dimension and observable commutators) beyond the specifics of interaction dynamics.

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