Experimental Implementation of Noncyclic and Nonadiabatic Geometric Quantum Gates in a Superconducting Circuit

TL;DR

This paper demonstrates fast, high-fidelity, and error-resilient geometric quantum gates in superconducting circuits by implementing noncyclic, nonadiabatic schemes that outperform traditional dynamical gates in robustness and speed.

Contribution

The authors experimentally realize noncyclic, nonadiabatic geometric gates in superconducting circuits, significantly reducing gate time and enhancing robustness against errors compared to conventional methods.

Findings

Geometric gates are more robust to Rabi frequency errors.

The implementation achieves shorter gate times.

Maximally entangled Bell states are generated successfully.

Abstract

Quantum gates based on geometric phases possess intrinsic noise-resilience features and therefore attract much attention. However, the implementations of previous geometric quantum computation typically require a long pulse time of gates. As a result, their experimental control inevitably suffers from the cumulative disturbances of systematic errors due to excessive time consumption. Here, we experimentally implement a set of noncyclic and nonadiabatic geometric quantum gates in a superconducting circuit, which greatly shortens the gate time. And also, we experimentally verify that our universal single-qubit geometric gates are more robust to both the Rabi frequency error and qubit frequency shift-induced error, compared to the conventional dynamical gates, by using the randomized benchmarking method. Moreover, this scheme can be utilized to construct two-qubit geometric operations, while the generation of the maximally entangled Bell states is demonstrated. Therefore, our results provide a promising routine to achieve fast, high-fidelity, and error-resilient quantum gates in superconducting quantum circuits.