Unifying entanglement and nonclassicality via the Narcowich-Wigner spectrum

@misc{frigerio2026unifying,
  title = {{Unifying entanglement and nonclassicality via the Narcowich-Wigner spectrum}},
  author = {Massimo Frigerio and Zacharie Van Herstraeten and Hania Herbi and Jack Davis and Nuno C. Dias and João N. Prata and Mattia Walschaers and Ulysse Chabaud},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.03544},
  eprint = {2611.03544},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.03544},
}

TY  - UNPB
TI  - Unifying entanglement and nonclassicality via the Narcowich-Wigner spectrum
AU  - Massimo Frigerio
AU  - Zacharie Van Herstraeten
AU  - Hania Herbi
AU  - Jack Davis
AU  - Nuno C. Dias
AU  - João N. Prata
AU  - Mattia Walschaers
AU  - Ulysse Chabaud
PY  - 2026
DA  - 2026/11/02
PB  - arXiv
DO  - 10.48550/arxiv.2611.03544
UR  - https://arxiv.org/abs/2611.03544
AB  - Entanglement and nonclassicality are two fundamental features of quantum mechanics which serve as resources in quantum information processing tasks and are tightly connected by two-mode mixing. In this work, we show that the connection between entanglement and nonclassicality extends well beyond the two-mode mixing setting by considering the case of arbitrary multimode Gaussian evolutions. Using the Narcowich-Wigner spectrum as our main technical tool to quantify single-mode phase-space nonclassicality, we derive sufficient conditions for a single-mode state to generate NPT entanglement after a multimode Gaussian unitary evolution, which both tighten and generalize existing criteria. As an application, we obtain simple single-mode protocols for quantitatively testing the entanglement structure of multimode quantum states over arbitrary bipartitions. Our results identify the Narcowich-Wigner spectrum as a powerful tool for investigating fundamental properties of bosonic quantum states.
ER  -