Entangled quantum states of causal fermion systems and unitary group integrals

Felix Finster; Niky Kamran; Moritz Reintjes

doi:10.4310/ATMP.2023.v27.n5.a4

Entangled quantum states of causal fermion systems and unitary group integrals

Felix Finster^*, Niky Kamran, Moritz Reintjes

^*Corresponding author for this work

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

4 Citations (Scopus)

Abstract

This paper is dedicated to a detailed analysis and computation of quantum states of causal fermion systems. The mathematical core is to analyze 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. © 2023, International Press, Inc.. All rights reserved.

Original language	English
Pages (from-to)	1463-1589
Journal	Advances in Theoretical and Mathematical Physics
Volume	27
Issue number	5
DOIs	https://doi.org/10.4310/ATMP.2023.v27.n5.a4
Publication status	Published - 2023

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author = "Felix Finster and Niky Kamran and Moritz Reintjes",

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AU - Finster, Felix

AU - Kamran, Niky

AU - Reintjes, Moritz

PY - 2023

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N2 - This paper is dedicated to a detailed analysis and computation of quantum states of causal fermion systems. The mathematical core is to analyze 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. © 2023, International Press, Inc.. All rights reserved.

AB - This paper is dedicated to a detailed analysis and computation of quantum states of causal fermion systems. The mathematical core is to analyze 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. © 2023, International Press, Inc.. All rights reserved.

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U2 - 10.4310/ATMP.2023.v27.n5.a4

DO - 10.4310/ATMP.2023.v27.n5.a4

M3 - RGC 21 - Publication in refereed journal

SN - 1095-0761

VL - 27

SP - 1463

EP - 1589

JO - Advances in Theoretical and Mathematical Physics

JF - Advances in Theoretical and Mathematical Physics

IS - 5

ER -

Entangled quantum states of causal fermion systems and unitary group integrals

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