Generation of two-dimensional cluster states by using high-finesse bimodal cavities

TL;DR

This paper introduces deterministic schemes for generating two-dimensional cluster states using chains of Rydberg atoms in bimodal cavities, advancing quantum state engineering for quantum computing.

Contribution

The paper presents novel, deterministic methods to generate 2xN and 3xN cluster states with bimodal cavities, extending to MxN states, in cavity QED.

Findings

Efficient 2xN cluster state generation with a single cavity.

Construction of 3xN cluster states using two cavities.

Extension of schemes to MxN two-dimensional cluster states.

Abstract

We propose two novel schemes to generate the two-dimensional 2xN and 3xN cluster states by using a chain of (two-level) Rydberg atoms in the framework of cavity QED. These schemes work in a completely deterministic way and are based on the resonant interaction of the atoms in a chain with a bimodal cavity that supports two independent modes of the photon field. We demonstrate that a 2xN cluster state can be generated efficiently with only a single bimodal cavity, while two such cavities are needed in order to construct a 3xN cluster state. It is shown, moreover, how these schemes can be extended towards the generation of MxN two-dimensional cluster states.