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PreprintarXiv licencearXiv

Revivals of Bell nonlocality require Schrödinger and Heisenberg non-Markovianity

  • Federico Settimo
  • Kimmo Luoma
  • Jyrki Piilo
  • Andrea Smirne
  • Bassano Vacchini
  • Dariusz Chruściński
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Abstract

Bell nonlocality is a key resource in quantum information, demonstrating the nonclassicality of quantum theory. Noise, however, is in general detrimental to nonlocality, and can cause the loss of the ability to violate any Bell inequality. Memory effects, on the other hand, can restore this quantumness and, as recently shown, they can be differently characterized in the Schrödinger and in the Heisenberg picture. Here, we show that if memory effects allow for revivals in time of nonlocality, then the dynamics must be non-Markovian in both pictures. We showcase our findings through a device-independent quantum key distribution task, for which Bell nonlocality is necessary.

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Cite

BibTeXRIS
BibTeX
@misc{settimo2026revivals,
  title = {{Revivals of Bell nonlocality require Schrödinger and Heisenberg non-Markovianity}},
  author = {Federico Settimo and Kimmo Luoma and Jyrki Piilo and Andrea Smirne and Bassano Vacchini and Dariusz Chruściński},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2606.30745},
  eprint = {2606.30745},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2606.30745},
}
RIS
TY  - UNPB
TI  - Revivals of Bell nonlocality require Schrödinger and Heisenberg non-Markovianity
AU  - Federico Settimo
AU  - Kimmo Luoma
AU  - Jyrki Piilo
AU  - Andrea Smirne
AU  - Bassano Vacchini
AU  - Dariusz Chruściński
PY  - 2026
DA  - 2026/10/07
PB  - arXiv
DO  - 10.48550/arxiv.2606.30745
UR  - https://arxiv.org/abs/2606.30745
AB  - Bell nonlocality is a key resource in quantum information, demonstrating the nonclassicality of quantum theory. Noise, however, is in general detrimental to nonlocality, and can cause the loss of the ability to violate any Bell inequality. Memory effects, on the other hand, can restore this quantumness and, as recently shown, they can be differently characterized in the Schrödinger and in the Heisenberg picture. Here, we show that if memory effects allow for revivals in time of nonlocality, then the dynamics must be non-Markovian in both pictures. We showcase our findings through a device-independent quantum key distribution task, for which Bell nonlocality is necessary.
ER  -