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PreprintarXiv licencearXiv

Certain Quantum States Already Require Quantum Time Evolution

  • Joel D. Huber
  • Matthias Kleinmann
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Abstract

Model-independent tests of quantum theory, such as Bell inequality violations, focus on static properties of the theory and do not rely on its dynamical aspects. Hence, this core part of quantum theory remains largely untested in a model-independent way. We show that the structure of quantum time evolution can be examined by testing the consistency between the state space and the dynamical laws. Considering a class of generalized phase-space theories, we find that certain quantum states can only be part of a theory if the time evolution is quantum: their evolution in anharmonic potentials would otherwise result in unphysical, negative marginal distributions. Furthermore, we demonstrate that the existence of the first excited state of a quantum harmonic oscillator is already sufficient to single out the Moyal bracket (quantum dynamics) to leading order in ℏ2. We outline how theory-independent Wigner tomography of this state can be used to empirically exclude nonquantum dynamical theories.

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Cite

BibTeXRIS
BibTeX
@misc{huber2026certain,
  title = {{Certain Quantum States Already Require Quantum Time Evolution}},
  author = {Joel D. Huber and Matthias Kleinmann},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.32937},
  eprint = {2610.32937},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.32937},
}
RIS
TY  - UNPB
TI  - Certain Quantum States Already Require Quantum Time Evolution
AU  - Joel D. Huber
AU  - Matthias Kleinmann
PY  - 2026
DA  - 2026/10/23
PB  - arXiv
DO  - 10.48550/arxiv.2610.32937
UR  - https://arxiv.org/abs/2610.32937
AB  - Model-independent tests of quantum theory, such as Bell inequality violations, focus on static properties of the theory and do not rely on its dynamical aspects. Hence, this core part of quantum theory remains largely untested in a model-independent way. We show that the structure of quantum time evolution can be examined by testing the consistency between the state space and the dynamical laws. Considering a class of generalized phase-space theories, we find that certain quantum states can only be part of a theory if the time evolution is quantum: their evolution in anharmonic potentials would otherwise result in unphysical, negative marginal distributions. Furthermore, we demonstrate that the existence of the first excited state of a quantum harmonic oscillator is already sufficient to single out the Moyal bracket (quantum dynamics) to leading order in ℏ^2. We outline how theory-independent Wigner tomography of this state can be used to empirically exclude nonquantum dynamical theories.
ER  -