Gate-error analysis in simulations of quantum computers with transmon qubits

D. Willsch; M. Nocon; F. Jin; H. De Raedt; K. Michielsen

doi:10.1103/PhysRevA.96.062302

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Gate-error analysis in simulations of quantum computers with transmon qubits

D. Willsch, M. Nocon, F. Jin, H. De Raedt, K. Michielsen

DOI 10.1103/PhysRevA.96.062302 · Physical Review A

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Abstract

In the model of gate-based quantum computation, the qubits are controlled by a sequence of quantum gates. In superconducting qubit systems, these gates can be implemented by voltage pulses. The success of implementing a particular gate can be expressed by various metrics such as the average gate fidelity, the diamond distance, and the unitarity. We analyze these metrics of gate pulses for a system of two superconducting transmon qubits coupled by a resonator, a system inspired by the architecture of the IBM Quantum Experience. The metrics are obtained by numerical solution of the time-dependent Schrödinger equation of the transmon system. We find that the metrics reflect systematic errors that are most pronounced for echoed cross-resonance gates, but that none of the studied metrics can reliably predict the performance of a gate when used repeatedly in a quantum algorithm.