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PreprintCC BY 4.0arXiv

Tsirelson's nonclassicality witness under dissipative dynamics

  • Nguyen Vu Khoi Huynh
  • Nicky Nel Narido Labayna
  • Martine Schut
  • Valerio Scarani
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Abstract

A dynamics-based test, originally proposed by Tsirelson for the harmonic oscillator, provides a method for certifying quantumness under the assumption of a known Hamiltonian. These tests, however, are typically proposed for isolated systems, an assumption that breaks down in experimental implementation. In this paper, we extend the protocol to the harmonic oscillator coupled to standard models of dissipation: thermal relaxation, pure dephasing, and the Caldeira--Leggett model. Using the Moyal-Wigner formalism of quantum mechanics in phase space, we show that the introduction of dissipation requires a dissipation-dependent shift of the classical bound, and provide the threshold under which the nonclassicality witness retains its validity.

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Cite

BibTeXRIS
BibTeX
@misc{huynh2026tsirelsons,
  title = {{Tsirelson's nonclassicality witness under dissipative dynamics}},
  author = {Nguyen Vu Khoi Huynh and Nicky Nel Narido Labayna and Martine Schut and Valerio Scarani},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2608.27337},
  eprint = {2608.27337},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.27337},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Tsirelson's nonclassicality witness under dissipative dynamics
AU  - Nguyen Vu Khoi Huynh
AU  - Nicky Nel Narido Labayna
AU  - Martine Schut
AU  - Valerio Scarani
PY  - 2026
DA  - 2026/10/05
PB  - arXiv
DO  - 10.48550/arxiv.2608.27337
UR  - https://arxiv.org/abs/2608.27337
AB  - A dynamics-based test, originally proposed by Tsirelson for the harmonic oscillator, provides a method for certifying quantumness under the assumption of a known Hamiltonian. These tests, however, are typically proposed for isolated systems, an assumption that breaks down in experimental implementation. In this paper, we extend the protocol to the harmonic oscillator coupled to standard models of dissipation: thermal relaxation, pure dephasing, and the Caldeira--Leggett model. Using the Moyal-Wigner formalism of quantum mechanics in phase space, we show that the introduction of dissipation requires a dissipation-dependent shift of the classical bound, and provide the threshold under which the nonclassicality witness retains its validity.
ER  -