Avoided crossing resonances: structural and dynamical aspects

TL;DR

This paper investigates the structural and dynamical properties of avoided crossing resonances in quantum systems, identifying parameter shifts for extremal properties and applying findings to optimize quantum gate fidelity and speed in trapped ions.

Contribution

It provides a detailed analysis of avoided crossing resonances and demonstrates their application in enhancing quantum gate performance in trapped ion systems.

Findings

Identified parameter shifts for maximal resonance properties

Analyzed two-level systems coupled to harmonic oscillators

Optimized quantum gate fidelity and speed

Abstract

We examine structural and dynamical properties of quantum resonances associated with an avoided crossing and identify the parameter shifts where these properties attain maximal or extreme values, first at a general level, and then for a two-level system coupled to a harmonic oscillator, of the type commonly found in quantum optics. Finally the results obtained are exemplified and applied to optimize the fidelity and speed of quantum gates in trapped ions.