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Comparing quantumness criteria

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arxiv 2211.10114 v2 pith:HIM4WY4V submitted 2022-11-18 quant-ph gr-qchep-th

Comparing quantumness criteria

classification quant-ph gr-qchep-th
keywords criteriastatequantumnesswhenarticleaxisbellcoincide
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Measuring the quantumness of a system can be done with a variety of methods. In this article we compare different criteria, namely quantum discord, Bell inequality violation and non-separability, for systems placed in a Gaussian state. When the state is pure, these criteria are equivalent, while we find that they do not necessarily coincide when decoherence takes place. Finally, we prove that these criteria are essentially controlled by the semi-minor axis of the ellipse representing the state's Wigner function in phase space.

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Cited by 3 Pith papers

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    gr-qc 2026-06 conditional novelty 5.0

    Requiring decohered cosmological perturbations to admit a classical P-function forces their momentum variance above the vacuum value, and demanding a linear gravitational potential at reheating bounds that variance by...