Designing short robust NOT gates for quantum computation

TL;DR

This paper introduces techniques for designing short, effective composite pulses to implement robust NOT gates in quantum computing, combining insights from NMR and quantum information processing.

Contribution

It presents novel methods for creating short, robust composite pulses for NOT gates, simplifying previous complex designs and enhancing practical quantum gate implementation.

Findings

Designed new composite pulses for robust NOT gates

Achieved shorter pulse sequences with high fidelity

Bridged NMR techniques with quantum information processing

Abstract

Composite pulses, originally developed in Nuclear Magnetic Resonance (NMR), have found widespread use in experimental quantum information processing (QIP) to reduce the effects of systematic errors. Most pulses used so far have simply been adapted from existing NMR designs, and while techniques have been developed for designing composite pulses with arbitrary precision the results have been quite complicated and have found little application. Here I describe techniques for designing short but effective composite pulses to implement robust NOT gates, bringing together existing insights from NMR and QIP, and present some novel composite pulses.