Entangled Quantum States of Causal Fermion Systems and Unitary Group Integrals

Felix Finster, Niky Kamran, Moritz Reintjes

Published 2022-07-26Version 1

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.