Mitigating off-resonant error in the cross-resonance gate

2021/08/06 by Moein Malekakhlagh, Easwar Magesan
Computer Science · Mathematics · Physics and Astronomy · #Computational physics #Controlled NOT gate #Diagonal #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum gate #Quantum mechanics #Qubit #Resonance (particle physics) #cond-mat.mes-hall #quant-ph

paper · pdf · doi:10.1103/physreva.105.012602

20 pages, 8 figures, 1 table and 5 appendices

arxiv created 2021/08/06 · openalex publication_date 2022/01/04 · arxiv updated 2022/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

An off-resonant error for a driven quantum system refers to interactions due to the input drives having nonzero spectral overlap with unwanted system transitions. For the cross-resonance gate, this includes leakage as well as off-diagonal computational interactions that lead to bit-flip error on the control qubit. In this paper, we quantify an off-resonant error, with more focus on the less studied off-diagonal control interactions, for a direct controlled-not (cnot) gate implementation. Our results are based on a numerical simulation of the dynamics while we demonstrate the connection to time-dependent Schrieffer-Wolff and Magnus perturbation theories. We present two methods for suppressing such error terms. First, pulse parameters need to be optimized so off-resonant transition frequencies coincide with the local minima due to the pulse spectrum sidebands. Second, we show the advantage of a Y-DRAG pulse on the control qubit in mitigating the off-resonant error. Depending on qubit-qubit detuning, the proposed methods can improve the average off-resonant error from approximately 10^\ensuremath-3 closer to the 10^\ensuremath-4 level for a direct cnot calibration.

Citations

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