Mesoscopic Rydberg Gate based on Electromagnetically Induced Transparency

TL;DR

This paper proposes a theoretical scheme for a high-fidelity, fast, and parallelized mesoscopic Rydberg gate using EIT, enabling entanglement of atomic ensembles with a control atom in a single step.

Contribution

It introduces a novel method for implementing a mesoscopic Rydberg C-NOT gate leveraging Rydberg interactions and EIT for robust, conditional state transfer.

Findings

High-fidelity entanglement of atomic ensembles demonstrated theoretically.

Gate operation achieved within microsecond timescale.

Proposes a many-body interferometer for quantum state comparison.

Abstract

We demonstrate theoretically a parallelized C-NOT gate which allows to entangle a mesoscopic ensemble of atoms with a single control atom in a single step, with high fidelity and on a microsecond timescale. Our scheme relies on the strong and long-ranged interaction between Rydberg atoms triggering Electromagnetically Induced Transparency (EIT). By this we can robustly implement a conditional transfer of all ensemble atoms among two logical states, depending on the state of the control atom. We outline a many body interferometer which allows a comparison of two many-body quantum states by performing a measurement of the control atom.