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  Quantum Circuit Complexity of Primordial Perturbations

Lehners, J.-L., & Quintin, J. (2021). Quantum Circuit Complexity of Primordial Perturbations. Physical Review D, 103(6): 063527. doi:10.1103/PhysRevD.103.063527.

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 Creators:
Lehners, Jean-Luc1, Author              
Quintin, Jerome1, Author              
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1Theoretical Cosmology, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_1753351              

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Free keywords: High Energy Physics - Theory, hep-th,Astrophysics, Cosmology and Extragalactic Astrophysics, astro-ph.CO,General Relativity and Quantum Cosmology, gr-qc,Quantum Physics, quant-ph
 Abstract: We study the quantum circuit complexity of cosmological perturbations in different models of the early universe. A natural measure for the complexity of cosmological perturbations is based on the symplectic group, allowing us to identify complexity with geodesics in the hyperbolic plane. We investigate the complexity of both the mode functions and the physical perturbations, arguing that the latter often provides a more insightful description of the physics involved. In all models the total complexity reached is rather large. Inflationary perturbations may be represented by a comparatively simple quantum circuit, while the perturbations during a matter-dominated contracting phase present the most rapid growth in complexity. Ekpyrotic perturbations reside in the middle and are distinguished by the smallest growth of complexity before horizon exit. Our analysis serves to highlight how different cosmological models achieve the same end result for the perturbations via different routes and how all models show a pronounced sensitivity to initial conditions.

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 Dates: 2020-12-092021
 Publication Status: Published in print
 Pages: 33 pages, 12 figures
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 Rev. Type: -
 Identifiers: arXiv: 2012.04911
DOI: 10.1103/PhysRevD.103.063527
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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 103 (6) Sequence Number: 063527 Start / End Page: - Identifier: -