Using Universal Frame Randomization and Randomized Compilation to Mitigate Errors in Quantum Optimization

Fuente: arXiv
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Main Authors: Johnson, Rachel E., Job, Joshua A., Adachi, Steve
Format: Preprint
Published: 2025
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author Johnson, Rachel E.
Job, Joshua A.
Adachi, Steve
author_facet Johnson, Rachel E.
Job, Joshua A.
Adachi, Steve
contents Error mitigation is essential for near-term quantum devices, and two promising techniques are universal frame randomization and Randomized Compilation. These methods insert random twirling gates into a circuit to reduce errors while preserving unitarity and depth. We apply universal frame randomization and Randomized Compilation to the quantum approximate optimization algorithm (QAOA) with $p=1$ on a superconducting quantum circuit system, demonstrating its potential to improve energy calculations. Specifically, we investigate the use of QAOA to calculate the lowest energy state of a frustrated Ising ring system and compare the results of randomized circuits generated using both techniques. Our results show that both methods can mitigate errors, with expected extremal energy values of $5.25\pm0.145$ and $4.08\pm0.36$, for Randomized Compilation and universal frame randomization respectively, compared to $2.63\pm0.068$ without randomization and $5.676\pm0.006$ with a noiseless simulator.
format Preprint
id arxiv_https___arxiv_org_abs_2508_14142
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Using Universal Frame Randomization and Randomized Compilation to Mitigate Errors in Quantum Optimization
Johnson, Rachel E.
Job, Joshua A.
Adachi, Steve
Quantum Physics
Computational Physics
Error mitigation is essential for near-term quantum devices, and two promising techniques are universal frame randomization and Randomized Compilation. These methods insert random twirling gates into a circuit to reduce errors while preserving unitarity and depth. We apply universal frame randomization and Randomized Compilation to the quantum approximate optimization algorithm (QAOA) with $p=1$ on a superconducting quantum circuit system, demonstrating its potential to improve energy calculations. Specifically, we investigate the use of QAOA to calculate the lowest energy state of a frustrated Ising ring system and compare the results of randomized circuits generated using both techniques. Our results show that both methods can mitigate errors, with expected extremal energy values of $5.25\pm0.145$ and $4.08\pm0.36$, for Randomized Compilation and universal frame randomization respectively, compared to $2.63\pm0.068$ without randomization and $5.676\pm0.006$ with a noiseless simulator.
title Using Universal Frame Randomization and Randomized Compilation to Mitigate Errors in Quantum Optimization
topic Quantum Physics
Computational Physics
url https://arxiv.org/abs/2508.14142