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Trapped Ion Quantum Computing

Generating Einsteinunicode{x2013}Podolskyunicode{x2013}Rosen correlations for teleporting collective spin states in a two dimensional trapped ion crystal

arXiv
Authors: Muhammad Miskeen Khan, Edwin Chaparro, Bhuvanesh Sundar, Allison Carter, John Bollinger, Klaus Molmer, Ana Maria Rey

Year

2024

Paper ID

67137

Status

Preprint

Abstract Read

~2 min

Abstract Words

118

Citations

N/A

Abstract

We propose the use of phononunicode{x2013}mediated interactions as an entanglement resource to engineer Einsteinunicode{x2013}Podolskyunicode{x2013}Rosen (EPR) correlations and to perform teleportation of collective spin states in twounicode{x2013}dimensional ion crystals. We emulate continuous variable quantum teleportation protocols between subsystems corresponding to different nuclear spin degrees of freedom. In each of them, a quantum state is encoded in an electronic spin degree of freedom that couples to the vibrational modes of the crystal. We show that high fidelity teleportation of spin-coherent states and their phase-displaced variant, entangled spin-squeezed states, and Dicke states, is possible for realistic experimental conditions in arrays from a few tens to a few hundred ions.

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  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
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  • We propose the use of phononunicodex2013mediated interactions as an entanglement resource to engineer Einsteinunicodex2013Podolskyunicodex2013Rosen (EPR) correlations and to...

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