Graph State Preparation and Cluster Computation with Global Addressing of Optical Lattices

Abstract

We present a novel way to manipulate ultra-cold atoms where four atomic levels are trapped by appropriately tuned optical lattices. When employed to perform quantum computation via global control, this unique structure dramatically reduces the number of steps involved in the control procedures, either for the standard, network, model, or for one-way quantum computation. The use of a far-blue detuned lattice and a magnetically insensitive computational basis makes the scheme robust against decoherence. The present scheme is a promising candidate for experimental implementation of quantum computation and for graph state preparation in one, two or three spatial dimensions.

4 pages, 5 figures

References in corpus (7)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Experimental One-Way Quantum Computing
• Multi-party entanglement in graph states
• Perfect Transfer of Arbitrary States in Quantum Spin Networks
• Efficient generation of graph states for quantum computation
• Quantum computation in optical lattices via global laser addressing
• Adiabatic Quantum State Manipulation of Single Trapped Atoms

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• The Computational Power of Symmetric Hamiltonians
• Optimal purification of thermal graph states
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• One-way quantum computing in optical lattices with many atom addressing
• Robustness of Bell Violation of Graph States to Qubit Loss