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

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.

12 pages, revised version accepted in PRA

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Cited by in corpus (8)

• Dissipative preparation of large W states in Optical Cavities
• Multidimensional cluster states using a single spin-photon interface coupled strongly to an intrinsic nuclear register
• Cluster state generation using van der Waals and dipole-dipole interactions in optical lattices
• Atom-mediated effective interactions between modes of a bimodal cavity
• Multipartite entangled states with two bosonic modes and qubits
• Generation of complete graph states in a spin-$1/2$ Heisenberg chain with a globally optimized magnetic field
• Unitary decoupling treatment of a quadratic bimodal CQED model
• Generation of topologically useful entangled states