Cluster state generation using van der Waals and dipole-dipole interactions in optical lattices

TL;DR

This paper proposes a scalable method to generate 1D and 2D cluster states for measurement-based quantum computing using van der Waals and dipole-dipole interactions in optical lattices, enabling efficient entanglement of neutral atoms or molecules.

Contribution

It introduces a novel, scalable approach for creating cluster states using Rydberg interactions in optical lattices, applicable to neutral atoms and polar molecules.

Findings

Sequential entanglement of all nearest neighbors in a finite number of steps

Generation of a 2D cluster state within several milliseconds

Feasibility demonstrated with Rb Rydberg atoms

Abstract

We present a scalable method for generation of a cluster state for measurement-based quantum computing using van der Waals or dipole-dipole interactions between neutral atoms or polar molecules in an optical lattice. Nearest neighbor entanglement is accomplished by performing a phase gate using interaction of atoms in Rydberg states or molecules in large dipole moment states. All nearest neighbors are sequentially entangled in a finite number of operations, independent of the number of qubits, producing a 1D cluster state. A universal 2D cluster state can be generated in several ms in a two-dimensional optical lattice by producing a series of 1D cluster states in one lattice direction, followed by application of the entangling operations in another lattice direction. We discuss the viability of the scheme with Rb Rydberg atoms.