Efficient detection of nonclassicality using moments of the Wigner function
Quantum Physics
2025-03-06 v2
Abstract
States with a negative Wigner function, a significant subclass of nonclassical states, serve as a valuable resource for various quantum information processing tasks. Here, we provide a criterion for detecting such quantum states characterized by a negative Wigner function. Our method relies on evaluating moments of the Wigner function, which involves computing simple functionals and can be implemented in a real experiment without the need for full state tomography or Wigner function reconstruction. We provide explicit examples to support our detection scheme. Further, we propose an experimental method utilizing the mode SWAP operator to realize these moments in a real experiment.
Keywords
Cite
@article{arxiv.2407.12116,
title = {Efficient detection of nonclassicality using moments of the Wigner function},
author = {Bivas Mallick and Sudip Chakrabarty and Saheli Mukherjee and Ananda G. Maity and A. S. Majumdar},
journal= {arXiv preprint arXiv:2407.12116},
year = {2025}
}
Comments
11 pages, 2 figures; Close to published version