Issue |
EPL
Volume 142, Number 1, April 2023
|
|
---|---|---|
Article Number | 18001 | |
Number of page(s) | 7 | |
Section | Quantum information | |
DOI | https://doi.org/10.1209/0295-5075/acc3be | |
Published online | 30 March 2023 |
Comparing quantumness criteria
1 Institut d'Astrophysique de Paris, CNRS & Sorbonne Université, UMR 7095 - 98 bis boulevard Arago, 75014 Paris, France
2 Université Paris-Saclay, CNRS/IN2P3, IJCLab - 91405, Orsay, France
3 Laboratoire de Physique de l'Ecole Normale Supérieure, ENS, CNRS, Université PSL, Sorbonne Université, Université Paris Cité - F-75005 Paris, France
(a) E-mail: amaury.micheli@ijclab.in2p3.fr (corresponding author)
Received: 1 December 2022
Accepted: 13 March 2023
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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