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

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.

Revised and expanded version

References in corpus (14)

• Single-Spin Addressing in an Atomic Mott Insulator
• Experimental entanglement of six photons in graph states
• Topological fault-tolerance in cluster state quantum computation
• A lattice of double wells for manipulating pairs of cold atoms
• Quantum computing with nearest neighbor interactions and error rates over 1%
• 'Designer atoms' for quantum metrology
• Sublattice addressing and spin-dependent motion of atoms in a double-well lattice
• Magic-wavelength optical traps for Rydberg atoms
• A scalable, high-speed measurement-based quantum computer using trapped ions
• Two-dimensional cluster-state preparation with linear ion traps
• Rydberg state mediated quantum gates and entanglement of pairs of neutral atoms
• Three-Axis Measurement and Cancellation of Background Magnetic Fields to less than 50 uG in a Cold Atom Experiment
• High-efficiency cluster-state generation with atomic ensembles via the dipole-blockade mechanism
• Fast initialization of a high-fidelity quantum register using optical superlattices

Cited by in corpus (12)

• Quantum computing with atomic qubits and Rydberg interactions: Progress and challenges
• Manipulation of Molecules with Electromagnetic Fields
• Measurement-Based Quantum Computation
• Superradiance in spin-$J$ particles: Effects of multiple levels
• Cluster State Generation with Spin-Orbit Coupled Fermionic Atoms in Optical Lattices
• Robust nuclear spin entanglement via dipolar interactions in polar molecules
• Tailored cluster states with high threshold under biased noise
• Adiabatic rapid passage two-photon excitation of a Rydberg atom
• Excitons and Cavity Polaritons for Optical Lattice Ultracold Atoms
• Nondestructive dispersive imaging of rotationally excited ultracold molecules
• Generating and verifying graph states for fault-tolerant topological measurement-based quantum computing in 2D optical lattices
• Generation of frequency-bin-encoded dual-rail cluster states via time-frequency multiplexing of microwave photonic qubits