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

2011/06/30 by Elena Kuznetsova, T. Bragdon, Robin Côté +2 · 26 citations
Computer Science · Physics and Astronomy · #Atomic physics #Cluster (spacecraft) #Cluster state #Cold Atom Physics and Bose-Einstein Condensates #Coupled cluster #Dipole #Lattice (music) #Molecule #Optical lattice #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Qubit #Rydberg atom #Rydberg formula #physics.atom-ph #quant-ph #van der Waals force

paper · pdf · doi:10.1103/physreva.85.012328

published in Physical Review A 85(1) (American Physical Society) · Revised and expanded version

arxiv created 2012/01/12 · openalex publication_date 2012/01/25 · arxiv updated 2015/05/28 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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 one-dimensional (1D) cluster state. A universal two-dimensional (2D) cluster state can be generated in several milliseconds in a 2D 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.

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