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  • Letter
  • Open Access

Generating Einstein-Podolsky-Rosen correlations for teleporting collective spin states in a two-dimensional trapped ion crystal

Muhammad Miskeen Khan1,2, Edwin Chaparro1,2, Bhuvanesh Sundar1,*, Allison Carter3, John Bollinger3, Klaus Molmer4, and Ana Maria Rey1,2

  • *Present address: Rigetti Computing, 775 Heinz Avenue, Berkeley, California 94710, USA.
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Phys. Rev. Research 7, L022019 – Published 17 April, 2025

DOI: https://doi.org/10.1103/PhysRevResearch.7.L022019

Abstract

We propose the use of phonon-mediated interactions as an entanglement resource to engineer Einstein-Podolsky-Rosen correlations and to perform teleportation of collective spin states in two-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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Phys. Rev. Research 7, L022019– Published 17 April, 2025
  • Received 21 June 2024
  • Accepted 5 March 2025
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