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

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 co...

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Main Authors: Muhammad Miskeen Khan, Edwin Chaparro, Bhuvanesh Sundar, Allison Carter, John Bollinger, Klaus Molmer, Ana Maria Rey
Format: Article
Language:English
Published: American Physical Society 2025-04-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.7.L022019
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author Muhammad Miskeen Khan
Edwin Chaparro
Bhuvanesh Sundar
Allison Carter
John Bollinger
Klaus Molmer
Ana Maria Rey
author_facet Muhammad Miskeen Khan
Edwin Chaparro
Bhuvanesh Sundar
Allison Carter
John Bollinger
Klaus Molmer
Ana Maria Rey
author_sort Muhammad Miskeen Khan
collection DOAJ
description 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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issn 2643-1564
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publishDate 2025-04-01
publisher American Physical Society
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series Physical Review Research
spelling doaj-art-e3318934c0e64f959bc742d7ebd0cb0b2025-08-20T03:18:05ZengAmerican Physical SocietyPhysical Review Research2643-15642025-04-0172L02201910.1103/PhysRevResearch.7.L022019Generating Einstein-Podolsky-Rosen correlations for teleporting collective spin states in a two-dimensional trapped ion crystalMuhammad Miskeen KhanEdwin ChaparroBhuvanesh SundarAllison CarterJohn BollingerKlaus MolmerAna Maria ReyWe 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.http://doi.org/10.1103/PhysRevResearch.7.L022019
spellingShingle Muhammad Miskeen Khan
Edwin Chaparro
Bhuvanesh Sundar
Allison Carter
John Bollinger
Klaus Molmer
Ana Maria Rey
Generating Einstein-Podolsky-Rosen correlations for teleporting collective spin states in a two-dimensional trapped ion crystal
Physical Review Research
title Generating Einstein-Podolsky-Rosen correlations for teleporting collective spin states in a two-dimensional trapped ion crystal
title_full Generating Einstein-Podolsky-Rosen correlations for teleporting collective spin states in a two-dimensional trapped ion crystal
title_fullStr Generating Einstein-Podolsky-Rosen correlations for teleporting collective spin states in a two-dimensional trapped ion crystal
title_full_unstemmed Generating Einstein-Podolsky-Rosen correlations for teleporting collective spin states in a two-dimensional trapped ion crystal
title_short Generating Einstein-Podolsky-Rosen correlations for teleporting collective spin states in a two-dimensional trapped ion crystal
title_sort generating einstein podolsky rosen correlations for teleporting collective spin states in a two dimensional trapped ion crystal
url http://doi.org/10.1103/PhysRevResearch.7.L022019
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