Entangled Quantum States of Causal Fermion Systems and Unitary Group Integrals

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.

89 pages, LaTeX, 9 figures, small improvements (published version)

Cited by in corpus (6)

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• Modified Measures as an Effective Theory for Causal Fermion Systems
• Causal Fermion Systems as an Effective Collapse Theory
• Notions of Fermionic Entropies of a Causal Fermion System
• A Canonical Construction of the Extended Hilbert Space for Causal Fermion Systems
• Holographic Mixing and Fock Space Dynamics of Causal Fermion Systems