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    Time-resolved digital quantum simulation of cosmological particle creation in a de Sitter–radiation transition

    Hamzeh Alavirad*

    • QUSMOS Project, Karlsruhe, Germany

    • *Contact author: h.alavirad@qusmos.com

    Phys. Rev. D 114, 043531 – Published 17 August, 2026

    DOI: https://doi.org/10.1103/467g-1dk1

    Abstract

    We present a time-resolved digital quantum simulation of cosmological particle creation in a de Sitter–radiation transition in a Friedmann–Lemaître–Robertson–Walker (FLRW) spacetime. Instead of compiling only the final Bogoliubov transformation into a one-shot circuit, we discretize the conformal-time evolution and implement the dynamics as a Trotterized sequence of short-time circuit blocks. This formulation gives access not only to the late-time particle number, but also to the build-up of fixed-basis pair occupation during the nonadiabatic transition. Using a four-qubit single-excitation encoding for a momentum pair (+k,−k), we compare matrix-Trotter evolution, noiseless statevector simulation, finite-shot Qiskit Aer simulation, and a shallow N=1 IBM hardware implementation. The simulator results are consistent with the analytic sudden-transition benchmark nk=1/[4(kηe)4] in the controlled single-excitation regime. The IBM experiment demonstrates execution of the shallow circuit block, but exhibits a residual hardware error of order 10−2, indicating that quantitative hardware reconstruction of the particle spectrum remains beyond current noisy intermediate-scale quantum (NISQ) performance.

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