Mitigating off-resonant error in the cross-resonance gate

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.

20 pages, 8 figures, 1 table and 5 appendices

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Cited by in corpus (6)

• CNOT gates for fluxonium qubits via selective darkening of transitions
• Tunable coupling of widely separated superconducting qubits: A possible application towards a modular quantum device
• Optimization of the resonator-induced phase gate for superconducting qubits
• Continuous quantum gate sets and pulse class meta-optimization
• Microwave-activated gates between a fluxonium and a transmon qubit
• Time-dependent Schrieffer-Wolff-Lindblad Perturbation Theory: measurement-induced dephasing and second-order Stark shift in dispersive readout