Non-adiabatic generation of NOON states in a Tonks--Girardeau gas

TL;DR

This paper demonstrates how non-adiabatic techniques like optimal control and shortcuts to adiabaticity can rapidly generate highly entangled NOON states in one-dimensional Tonks-Girardeau gases, overcoming limitations of slow adiabatic methods.

Contribution

It introduces non-adiabatic methods for creating maximally entangled NOON states in Tonks-Girardeau gases, advancing quantum state preparation techniques.

Findings

Successful non-adiabatic creation of NOON states

High-fidelity entangled states achieved rapidly

Applicable to quantum information processing

Abstract

With adiabatic techniques, it is possible to create quantum superposition states with high fidelity while exercising limited control over the parameters of a system. However, because these techniques are slow compared to other timescales in the system, they are usually not suitable for creating highly unstable states or performing time-critical processes. Both of these situations arise in quantum information processing, where entangled states may only be isolated from the environment for a short time and where quantum computers require high-fidelity operations to be performed quickly. Recently it has been shown that techniques like optimal control and shortcuts to adiabaticity may be used to prepare quantum states non-adiabatically with high fidelity. Here we present two examples of how these techniques can be used to create maximally entangled many-body NOON states in one-dimensional Tonks--Girardeau gases.