Mitigating off-resonant error in the cross-resonance gate

• URL: http://arxiv.org/abs/2108.03223v1
• Date: Fri, 6 Aug 2021 17:51:53 GMT
• Title: Mitigating off-resonant error in the cross-resonance gate
• Authors: Moein Malekakhlagh and Easwar Magesan
• Abstract summary: We quantify off-resonant error, with more focus on the less studied off-diagonal control interactions, for a direct CNOT gate implementation. We present two methods for suppressing such error terms. Depending on qubit-qubit detuning, the proposed methods can improve the average off-resonant error from approximately $10-3$ closer to the $10-4$ level for a direct CNOT calibration.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Off-resonant error for a driven quantum system refers to interactions due to the input drives having non-zero 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 work, we quantify off-resonant error, with more focus on the less studied off-diagonal control interactions, for a direct CNOT gate implementation. Our results are based on 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 that 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 off-resonant error. Depending on qubit-qubit detuning, the proposed methods can improve the average off-resonant error from approximately $10^{-3}$ closer to the $10^{-4}$ level for a direct CNOT calibration.

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