# Creation of quantum entangled states of Rydberg atoms via chirped adiabatic passage

## TL;DR

This paper introduces a robust quantum control method using chirped adiabatic passage to generate entangled states, specifically W and GHZ states, in Rydberg atoms through laser-induced two-photon transitions.

## Contribution

It presents a novel control technique employing overlapping chirped pulses for creating entangled Rydberg states, enhancing robustness and precision over existing methods.

## Key findings

- Successful creation of W and GHZ entangled states in Rydberg atoms.
- Demonstration of control over Rabi frequency, detuning, and Rydberg interactions.
- Potential for scalable quantum information processing.

## Abstract

Entangled states are crucial for modern quantum enabled technology which makes their creation key for future developments. In this paper, a robust quantum control methodology is presented to create entangled states of two typical classes, the W and the Greenberger-Horne-Zeilinger (GHZ). It was developed from the analysis of a chain of alkali atoms $^{87}Rb $ interaction with laser pulses, which lead to the two-photon transitions from the ground to the Rydberg states with a predetermined magnetic quantum number. The methodology is based on the mechanism of two-photon adiabatic passage using overlapping chirped pulses and interplaying the Rabi frequency, the one-photon detuning, and the strength of the Rydberg-Rydberg interactions.