English

Decoherence as a high-dimensional geometrical phenomenon

Mathematical Physics 2024-01-30 v2 math.MP

Abstract

We develop a mathematical formalism that allows to study decoherence with a great level generality, so as to make it appear as a geometrical phenomenon between reservoirs of dimensions. It enables us to give quantitative estimates of the level of decoherence induced by a purely random environment on a system according to their respectives sizes, and to exhibit some links with entanglement entropy.

Keywords

Cite

@article{arxiv.2302.04148,
  title  = {Decoherence as a high-dimensional geometrical phenomenon},
  author = {Antoine Soulas},
  journal= {arXiv preprint arXiv:2302.04148},
  year   = {2024}
}
R2 v1 2026-06-28T08:35:10.810Z