English

Locally unitary quantum state evolution is local

Quantum Physics 2024-02-06 v1

Abstract

We study the localization properties of bipartite channels, whose action on a subsystem yields a unitary channel. In particular we show that, under such channel, the subsystem must evolve independent of its environment. This point of view is another way to verify certain well-known conservation laws of quantum information in a generalized way. A no-go theorem for non classical conditional semantics in quantum computation is obtained as an intermediate result.

Keywords

Cite

@article{arxiv.2402.03088,
  title  = {Locally unitary quantum state evolution is local},
  author = {Matias Heikkilä},
  journal= {arXiv preprint arXiv:2402.03088},
  year   = {2024}
}
R2 v1 2026-06-28T14:38:39.986Z