Quantum computing with spatially delocalized qubits

Abstract

We analyze the operation of quantum gates for neutral atoms with qubits that are delocalized in space, i.e., the computational basis states are defined by the presence of a neutral atom in the ground state of one out of two trapping potentials. The implementation of single qubit gates as well as a controlled phase gate between two qubits is discussed and explicit calculations are presented for rubidium atoms in optical microtraps. Furthermore, we show how multi-qubit highly entangled states can be created in this scheme.

4 pages, 4 figures

References in corpus (3)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Adiabatic Transfer of Electrons in Coupled Quantum Dots
• Quantum computing in optical microtraps based on the motional states of neutral atoms

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• Holographic generation of micro-trap arrays for single atoms
• Quantum computations with atoms in optical lattices: marker qubits and molecular interactions
• Fast Ground State Manipulation of Neutral Atoms in Microscopic Optical Traps
• Three level atom optics via the tunneling interaction
• Single Atom Cooling by Superfluid Immersion: A Non-Destructive Method for Qubits
• Optical Lattices, Ultracold Atoms and Quantum Information Processing
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• Ground state cooling of atoms in optical lattices
• Teleportation on a quantum dot array
• Quantum logic via optimal control in holographic dipole traps
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• Phase Evolution in Spatial Dark States
• A simple quantum gate with atom chips
• Bose-Hubbard model for universal quantum walk-based computation
• Tunneling phase gate for neutral atoms in a double-well lattice
• Speeding up the spatial adiabatic passage of matter waves in optical microtraps by optimal control
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• Coherent adiabatic transport of atoms in radio-frequency traps
• Divalent Rydberg atoms in optical lattices: intensity landscape and magic trapping
• Delocalized Entanglement of Atoms in optical Lattices
• Cooling toolbox for atoms in optical lattices
• What we can learn about quantum physics from a single qubit
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• Transport and Entanglement Generation in the Bose-Hubbard Model
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• Parallel interaction-free measurement using spatial adiabatic passage
• Initializing a Quantum Register from Mott Insulator States in Optical Lattices
• A quantum register using collective excitations in a Bose-Einstein condensate
• Proposal for Monitoring and Heralding Position States of Atoms in a One-Dimensional Waveguide
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• Cold Atoms in Driven Optical Lattices