Rydberg atoms based creation of N particle GHZ state using STIRAP

TL;DR

This paper proposes a theoretical method to generate multi-particle GHZ states using Rydberg atoms and STIRAP, offering a robust and high-fidelity approach in the Rydberg blockade regime.

Contribution

It introduces a novel scheme for creating N-particle GHZ states with Rydberg atoms using STIRAP, including analysis of adiabatic conditions and decay effects.

Findings

High-fidelity adiabatic transfer of atoms between ground states

Robustness against decay from Rydberg levels

Single-step creation of N-particle GHZ states

Abstract

Schemes for creation of N particle entangled Greenberger-Horne-Zeilinger (GHZ) states are important for understanding multi-particle non-classical correlations. Here, a theoretical scheme for creation of a multi-particle GHZ state implemented on a target ensemble of N, $\Lambda$ three-level Rydberg atoms and a single Rydberg atom as a control using Stimulated Raman Adiabatic Passage (STIRAP) is presented. We work in the Rydberg blockade regime for the ensemble atoms induced due to excitation of the control atom to a high lying Rydberg level. It is shown that using STIRAP, atoms from one ground state of the ensemble can be adiabatically transferred to the other ground state, depending on the state of the control atom with high fidelity. Measurement of the control atom in a specific basis after this conditional transfer facilitates one-step creation of a N particle GHZ state. A thorough analysis of adiabatic conditions for this scheme and the influence of radiative decay from the excited Rydberg levels is presented. We show that this scheme is immune to the decay rate of the excited level in ensemble atoms and provides a robust way of creating GHZ states.