Robustness of a universal gate set implementation in transmon systems via Chopped Random Basis optimal control

• URL: http://arxiv.org/abs/2207.13447v1
• Date: Wed, 27 Jul 2022 10:55:15 GMT
• Title: Robustness of a universal gate set implementation in transmon systems via Chopped Random Basis optimal control
• Authors: Herv\`e Ats\`e Corti (1), Leonardo Banchi (2, 3), Alessandro Cidronali (4) ((1) Department of Information Engineering, University of Pisa (2) Department of Physics and Astronomy, University of Florence (3) INFN Sezione di Firenze (4) Department of Information Engineering, University of Florence)
• Abstract summary: We numerically study the implementation of a universal two-qubit gate set, composed of CNOT, Hadamard, phase and $pi/8$ gates, for transmon-based systems. The control signals to implement such gates are obtained using the Chopped Random Basis optimal control technique, with a target gate infidelity of $10-2$.
• Score: 50.591267188664666
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We numerically study the implementation of a universal two-qubit gate set, composed of CNOT, Hadamard, phase and $\pi/8$ gates, for transmon-based systems. The control signals to implement such gates are obtained using the Chopped Random Basis optimal control technique, with a target gate infidelity of $10^{-2}$. During the optimization processes we account for the leakage toward non-computational states, an important non-ideality affecting transmon qubits. We also test and benchmark the optimal control solutions against the introduction of Gaussian white noise and spectral distortion, two key non-idealities that affect the control signals in transmon systems.

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