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PreprintCC BY 4.0arXiv

Non-factor quantum dynamics and relativity

  • Octave Mestoudjian
  • Matt Wilson
Open at sourcePDFDOICite

Abstract

We consider the effect of relativistic principles on the structure of the local evolutions of non-factor quantum systems such as those which naturally arise in quantum spacetimes and causal structures. Generalising a former result that had been given for factor systems, we show that any evolution which can be applied locally on a direct sum of factor systems and without producing superluminal signals must be linear, unitary, and respect the block decomposition of the system.

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Cite

BibTeXRIS
BibTeX
@misc{mestoudjian2026nonfactor,
  title = {{Non-factor quantum dynamics and relativity}},
  author = {Octave Mestoudjian and Matt Wilson},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.30942},
  eprint = {2609.30942},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.30942},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Non-factor quantum dynamics and relativity
AU  - Octave Mestoudjian
AU  - Matt Wilson
PY  - 2026
DA  - 2026/09/25
PB  - arXiv
DO  - 10.48550/arxiv.2609.30942
UR  - https://arxiv.org/abs/2609.30942
AB  - We consider the effect of relativistic principles on the structure of the local evolutions of non-factor quantum systems such as those which naturally arise in quantum spacetimes and causal structures. Generalising a former result that had been given for factor systems, we show that any evolution which can be applied locally on a direct sum of factor systems and without producing superluminal signals must be linear, unitary, and respect the block decomposition of the system.
ER  -