Experimental implementation of universal nonadiabatic geometric quantum gates in a superconducting circuit

TL;DR

This paper demonstrates the experimental realization of universal nonadiabatic geometric quantum gates in a superconducting circuit, showing high fidelity and noise resilience, advancing robust quantum computing methods.

Contribution

The work experimentally implements a universal set of nonadiabatic geometric quantum gates in superconducting qubits, highlighting their high fidelity and noise resilience compared to conventional gates.

Findings

Single-qubit gates fidelity: 0.9977

Two-qubit controlled-Z gate fidelity: 0.977

Noise-resilient performance demonstrated

Abstract

Using geometric phases to realize noise-resilient quantum computing is an important method to enhance the control fidelity. In this work, we experimentally realize a universal nonadiabatic geometric quantum gate set in a superconducting qubit chain. We characterize the realized single- and two-qubit geometric gates with both quantum process tomography and randomized benchmarking methods. The measured average fidelities for the single-qubit rotation gates and two-qubit controlled-Z gate are 0.9977(1) and 0.977(9), respectively. Besides, we also experimentally demonstrate the noise-resilient feature of the realized single-qubit geometric gates by comparing their performance with the conventional dynamical gates with different types of errors in the control field. Thus, our experiment proves a way to achieve high-fidelity geometric quantum gates for robust quantum computation.