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All non-locally Realized Continuous Variable Bipartite Gaussian States are Entangled

Quantum Physics 2025-07-31 v2

Abstract

We investigate the connection between entanglement and non-locality between continuous-variable bipartite Gaussian states. The investigation initiates with formulating non-locality by using the phase-space Wigner representation of Bell's function. Furthermore, our analysis shows entanglement to be necessary for nonlocality, but not sufficient for it; however, nonlocality is sufficient to ensure entanglement.

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Cite

@article{arxiv.2507.21264,
  title  = {All non-locally Realized Continuous Variable Bipartite Gaussian States are Entangled},
  author = {Souvik Agasti},
  journal= {arXiv preprint arXiv:2507.21264},
  year   = {2025}
}

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4 pages, 0 figures