Suppressing classical noise in the accelerated geometric phase gate by optimized dynamical decoupling

TL;DR

This paper introduces an accelerated geometric phase gate that combines transitionless driving and optimized dynamical decoupling to enhance speed and fidelity in quantum computation despite noise and imperfections.

Contribution

It presents a novel method integrating transitionless driving with optimized dynamical decoupling to suppress classical noise in geometric phase gates.

Findings

Achieves high fidelity at increased speed in quantum gates.

Effectively suppresses classical noise using optimized dynamical decoupling.

Maintains robustness under Gaussian noise spectrum with inverse quadratic power-law.

Abstract

In the quantum-computation scenario, geometric phase-gates are becoming increasingly attractive for their intrinsic fault tolerance to disturbance. With an adiabatic cyclic evolution, Berry phase appears to realize a geometric transformation. Performing the quantum gates as many as possible within the timescale of coherence, however, remains an inconvenient bottleneck due to the systematic errors. Here we propose an accelerated adiabatic quantum gate based on the Berry phase, the transitionless driving, and the dynamical decoupling. It reconciles a high fidelity with a high speed in the presence of control noise or imperfection. We optimize the dynamical-decoupling sequence in the time domain under a popular Gaussian noise spectrum following the inversely quadratic power-law.