High-fidelity error-resilient composite phase gates

TL;DR

This paper introduces a method for constructing high-fidelity quantum phase gates using composite pulses that are robust against various experimental errors, enhancing quantum computation reliability.

Contribution

It proposes a novel composite pulse scheme for phase gates that compensates multiple systematic errors simultaneously, including errors in pulse area and detuning.

Findings

Achieves high fidelity in quantum phase gates under error conditions.

Uses universal composite pulses to compensate diverse systematic errors.

Demonstrates robustness against multiple experimental imperfections.

Abstract

We present a method to construct high-fidelity quantum phase gates, which are insensitive to errors in various experimental parameters. The phase gates consist of a pair of two sequential broadband composite pulses, with a phase difference $\pi+\alpha/2$ between them, where $\alpha$ is the desired gate phase. By using composite pulses which compensate systematic errors in the pulse area, the frequency detuning, or both the area and the detuning, we thereby construct composite phase gates which compensate errors in the same parameters. Particularly interesting are phase gates which use the recently discovered universal composite pulses, which compensate systematic errors in any parameter of the driving field, which keep the evolution Hermitian (e.g., pulse amplitude and duration, pulse shape, frequency detuning, Stark shifts, residual frequency chirps, etc.