English

Comparing quantumness criteria

Quantum Physics 2023-04-19 v2 General Relativity and Quantum Cosmology High Energy Physics - Theory

Abstract

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.

Keywords

Cite

@article{arxiv.2211.10114,
  title  = {Comparing quantumness criteria},
  author = {Jerome Martin and Amaury Micheli and Vincent Vennin},
  journal= {arXiv preprint arXiv:2211.10114},
  year   = {2023}
}

Comments

8 pages without appendix (total 19 pages), 5 figures. Matches published version in EPL

R2 v1 2026-06-28T06:11:53.577Z