Simulated Randomized Benchmarking of a Dynamically Corrected Cross-Resonance Gate

Abstract

We theoretically consider a cross-resonance (CR) gate implemented by pulse sequences proposed by Calderon-Vargas & Kestner, Phys. Rev. Lett. 118, 150502 (2017). These sequences mitigate systematic error to first order, but their effectiveness is limited by one-qubit gate imperfections. Using additional microwave control pulses, it is possible to tune the effective CR Hamiltonian into a regime where these sequences operate optimally. This improves the overall feasibility of these sequences by reducing the one-qubit operations required for error correction. We illustrate this by simulating randomized benchmarking for a system of weakly coupled transmons and show that while this novel pulse sequence does not offer an advantage with the current state of the art in transmons, it does improve the scaling of CR gate infidelity with one-qubit gate infidelity.

References in corpus (12)

• Charge insensitive qubit design derived from the Cooper pair box
• Coupling Superconducting Qubits via a Cavity Bus
• Simple pulses for elimination of leakage in weakly nonlinear qubits
• Suppressing Charge Noise Decoherence in Superconducting Charge Qubits
• Controlling the spontaneous emission of a superconducting transmon qubit
• Randomized benchmarking and process tomography for gate errors in a solid-state qubit
• Experimental demonstration of fault-tolerant state preparation with superconducting qubits
• Process verification of two-qubit quantum gates by randomized benchmarking
• Microwave-induced coupling of superconducting qubits
• Operation and intrinsic error budget of a two-qubit cross-resonance gate
• Entanglement of superconducting qubits via microwave fields: classical and quantum regimes
• Average Fidelity in n-Qubit systems