Quantum Error Mitigation by Global Randomized Error Cancellation for Adiabatic Evolution in the Schwinger Model

2025/07/09 by Oleg Kaikov, Theo Saporiti, Kaikov, Oleg +5
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2507.06601

openalex publication_date 2025/07/09 · openalex created_date 2025/10/05 · openalex updated_date 2026/07/28

Abstract

We extend the global randomized error cancellation (GREC) method for quantum error mitigation (QEM) in an application to adiabatic evolution of states on a noisy quantum device. We apply the adiabatic GREC method to the evolution of eigenstates in the lattice Schwinger model on a simulated quantum device with custom noise. Our results suggest that the corresponding QEM learned in one parameter regime of the model successfully transfers to a different parameter regime. In particular, our findings indicate that it transfers between different phases of the model. We observe that adiabatic GREC produces a smaller error than zero noise extrapolation (ZNE). Furthermore, in general, adiabatic GREC can be more cost-efficient in terms of the total number of gates used for the simulations. We comment on approaches to further reduce the necessary quantum computational resources. We also outline extensions of the introduced adiabatic GREC QEM method.

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Related

• BBGKY hierarchy for quantum error mitigation
• Quantum error mitigation in quantum annealing
• Enhancing quantum models of stochastic processes with error mitigation
• The quantum adiabatic algorithm suppresses the proliferation of errors
• Diffusion-based Quantum Error Mitigation using Stochastic Differential Equation