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DOE OSTI · 3369035

Solovay-Kitaev algorithm and randomized compilation

Abstract

This paper discusses a technique for randomizing over synthesized one-qubit gate sequences in order to mitigate coherent errors in fault-tolerant circuits. We present simulated and experimental data showing that randomization can reduce the trace distance to the target state.

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Widzowski Maupin, Oliver Gabriel [Sandia National Laboratories (SNL-CA), Livermore, CA (United States)] (ORCID:0009000507810182), Burch, Ashlyn [Oak Ridge National Laboratory], Yale, Christopher Gordon [Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)] (ORCID:0000000289688870), Chow, Matthew N. H.- [External Affiliation], Colvin, Terra [Tufts University], Ruzic, Brandon [Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)] (ORCID:0000000342210463), Revelle, Melissa [Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)] (ORCID:0000000288548278), McFarland, Brian [Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)] (ORCID:0009000119804573), Ibarra-Garcia-Padilla, Eduardo [Harvey Mudd College], Rascon, Alejandro [University of New Mexico], Landahl, Andrew John [Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)] (ORCID:0009000084130854), Clark, Susan Marie [Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)] (ORCID:0000000199413363), Love, Peter J [Tufts University]. 2026-06-01. Solovay-Kitaev algorithm and randomized compilation. https://doi.org/10.1103/ll6m-dbl7

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