English

Derivation of quantum theory with superselection rules

Quantum Physics 2026-05-26 v3

Abstract

We reconstruct finite-dimensional quantum theory with superselection rules, which can describe hybrid quantum-classical systems, from four purely operational postulates: symmetric sharpness, complete mixing, filtering, and local equality. It has been shown that each of the classical and fully quantum theories is singled out by an additional postulate.

Keywords

Cite

@article{arxiv.1910.02649,
  title  = {Derivation of quantum theory with superselection rules},
  author = {Kenji Nakahira},
  journal= {arXiv preprint arXiv:1910.02649},
  year   = {2026}
}
R2 v1 2026-06-23T11:36:03.176Z