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Article
Report number arXiv:2410.06250
Title Statistics of topological defects across a phase transition in a digital superconducting quantum processor
Related titleStatistics of topological defects across a phase transition in a superconducting quantum processor
Author(s) Kiss, Oriel (CERN) ; Teplitskiy, Daniil (CERN) ; Grossi, Michele (CERN) ; Mandarino, Antonio (Gdansk U. ; Milan U.)
Publication 2025-06-10
Imprint 2024-10-08
Number of pages 11
In: Quantum Sci. Technol. 10 (2025) 035037
DOI 10.1088/2058-9565/addf75 (publication)
Subject category General Theoretical Physics
Abstract When a quantum phase transition is crossed within a finite time, critical slowing down disrupts adiabatic dynamics, resulting in the formation of topological defects. The average density of these defects scales with the quench rate, adhering to a universal power law as predicted by the Kibble-Zurek mechanism (KZM). In this study, we aim to investigate the counting statistics of kink density in the 1D transverse-field quantum Ising model. We demonstrate on multiple quantum processing units up to 100 qubits, that higher-order cumulants follow a universal power law scaling as a function of the quench time. We also show the breakdown of the KZM for short quenches for finite-size systems. Tensor network simulations corroborate our quantum simulation results for bigger systems not in the asymptotic limit.
Copyright/License preprint: (License: arXiv nonexclusive-distrib 1.0)
publication: © 2025 The Author(s) (License: CC BY 4.0)



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 Záznam vytvorený 2024-12-11, zmenený 2025-07-18


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