Entangled Quantum States of Causal Fermion Systems and Unitary Group Integrals
Mathematical Physics
2024-07-17 v2 High Energy Physics - Theory
math.MP
Operator Algebras
Quantum Physics
Abstract
This paper is dedicated to a detailed analysis and computation of quantum states of causal fermion systems. The mathematical core is to compute integrals over the unitary group asymptotically for a large dimension of the group, for various integrands with a specific scaling behavior in this dimension. It is shown that, in a well-defined limiting case, the localized refined pre-state is positive and allows for the description of general entangled states.
Keywords
Cite
@article{arxiv.2207.13157,
title = {Entangled Quantum States of Causal Fermion Systems and Unitary Group Integrals},
author = {Felix Finster and Niky Kamran and Moritz Reintjes},
journal= {arXiv preprint arXiv:2207.13157},
year = {2024}
}
Comments
89 pages, LaTeX, 9 figures, small improvements (published version)