Preparation and light-mediated distribution of motional state entanglement

Abstract

We describe and analyse numerically schemes (i) for entangling orthogonal motional modes of one or a few harmonically-trapped atoms or ions, and (ii) for transferring the entanglement from one of these local modes to a distant trapped atom (or atoms) via a light-mediated quantum state transfer procedure proposed in previous work [A.S. Parkins and H.J. Kimble, J. Opt. B: Quantum Semiclass. Opt. 1, 496 (1999)]. Possibilities arising from these schemes include the generation of an Einstein-Podolsky-Rosen state in the positions and momenta of distantly-separated trapped atoms and the preparation of delocalized mesoscopic vibrational states.

16 pages, 7 figures, submitted to Phys. Rev. A

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• Entanglement between motional states of a single trapped ion and light
• Implementation of quantum gates and preparation of entangled states in cavity QED with cold trapped ions
• Multipartite Entanglement and Quantum State Exchange
• Motion-light parametric amplifier and entanglement distributor
• Input-output Gaussian channels: theory and application
• A proposal of quantum logic gates using cold trapped ions in a cavity
• Non-locality of Two Ultracold Trapped Atoms
• Bitwise Bell inequality violations for an entangled state involving 2N ions
• Unconditional Bell-type state generation for spatially separate trapped ions