Simulation of the three-qubit repetition code on the chain of superconducting qubits with couplers

N. G. Berezkin^abc, I. A. Simakov^ab, G. S. Mazhorin<sup>ab

a</sup> National University of Science and Technology «MISIS», Moscow
^b Russian Quantum Center, Skolkovo, Moscow
^c Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region

Abstract: In superconducting quantum circuits, a promising method for implementing high-fidelity two-qubit gates is the microwave drive of a coupler. This paper presents the simulation of the three-qubit repetition code, taking into account the physical mechanism of two-qubit operation implementation: the effect of parasitic population of the excited state of the coupler is investigated, and the successful correction of this error using quantum error correction codes is demonstrated.

Keywords: superconducting qubits, coupler, microwave gates, repetition code, leakages from computational subspace.

Received: 22.07.2025
Revised: 18.08.2025
Accepted: 25.08.2025

DOI: 10.61011/PJTF.2025.22.61587.20451

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