Rydberg atoms based mesoscopic $\text{CNOT}^{\text{N}}$ gate using STIRAP
Tanvi P. Gujarati
Abstract
Schemes for implementation of CNOT gates in atomic ensembles are important for realization of quantum computing. Here, a theoretical scheme for a $\text{CNOT}^{\text{N}}$ gate 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. A thorough analysis of adiabatic conditions for this scheme and the influence of radiative decay from the excited Rydberg levels is provided. We show that the $\text{CNOT}^{\text{N}}$ process is immune to the decay rate of the excited level in ensemble atoms.