Dimer states of Rydberg atoms on the Kagome lattice as resources for universal measurement-based quantum computation

<jats:p> We show that the quantum dimer state on the Kagome lattice, which was recently realized with high fidelity in a Rydberg quantum simulator [G. Semeghini et al., Science 374, 6572 (2021)], offers a sufficient resource for universal measurement-based quantum computations. In particular,...

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Main Author: Crépel, Valentin
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Published: AIP Publishing 2023
Subjects:
Online Access:https://hdl.handle.net/1721.1/146963
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author Crépel, Valentin
author2 Massachusetts Institute of Technology. Department of Physics
author_facet Massachusetts Institute of Technology. Department of Physics
Crépel, Valentin
author_sort Crépel, Valentin
collection MIT
description <jats:p> We show that the quantum dimer state on the Kagome lattice, which was recently realized with high fidelity in a Rydberg quantum simulator [G. Semeghini et al., Science 374, 6572 (2021)], offers a sufficient resource for universal measurement-based quantum computations. In particular, we provide an efficient encoding of logical qubits in this state and give explicit measurement sequences that implement a universal set of gates on these qubits. Since the building blocks of the proposed measurements have already been experimentally implemented, our work highlights one possible path toward promoting Rydberg simulators to universal quantum computers relying on the measurement-based model of quantum computation with currently existing technology. </jats:p>
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spelling mit-1721.1/1469632023-01-27T20:53:47Z Dimer states of Rydberg atoms on the Kagome lattice as resources for universal measurement-based quantum computation Crépel, Valentin Massachusetts Institute of Technology. Department of Physics General Physics and Astronomy <jats:p> We show that the quantum dimer state on the Kagome lattice, which was recently realized with high fidelity in a Rydberg quantum simulator [G. Semeghini et al., Science 374, 6572 (2021)], offers a sufficient resource for universal measurement-based quantum computations. In particular, we provide an efficient encoding of logical qubits in this state and give explicit measurement sequences that implement a universal set of gates on these qubits. Since the building blocks of the proposed measurements have already been experimentally implemented, our work highlights one possible path toward promoting Rydberg simulators to universal quantum computers relying on the measurement-based model of quantum computation with currently existing technology. </jats:p> 2023-01-04T16:19:26Z 2023-01-04T16:19:26Z 2022-11-01 Article http://purl.org/eprint/type/JournalArticle 2158-3226 https://hdl.handle.net/1721.1/146963 Crépel, Valentin. 2022. "Dimer states of Rydberg atoms on the Kagome lattice as resources for universal measurement-based quantum computation." 12 (11). 10.1063/5.0111578 Creative Commons Attribution 4.0 International license https://creativecommons.org/licenses/by/4.0/ application/pdf AIP Publishing American Institute of Physics (AIP)
spellingShingle General Physics and Astronomy
Crépel, Valentin
Dimer states of Rydberg atoms on the Kagome lattice as resources for universal measurement-based quantum computation
title Dimer states of Rydberg atoms on the Kagome lattice as resources for universal measurement-based quantum computation
title_full Dimer states of Rydberg atoms on the Kagome lattice as resources for universal measurement-based quantum computation
title_fullStr Dimer states of Rydberg atoms on the Kagome lattice as resources for universal measurement-based quantum computation
title_full_unstemmed Dimer states of Rydberg atoms on the Kagome lattice as resources for universal measurement-based quantum computation
title_short Dimer states of Rydberg atoms on the Kagome lattice as resources for universal measurement-based quantum computation
title_sort dimer states of rydberg atoms on the kagome lattice as resources for universal measurement based quantum computation
topic General Physics and Astronomy
url https://hdl.handle.net/1721.1/146963
work_keys_str_mv AT crepelvalentin dimerstatesofrydbergatomsonthekagomelatticeasresourcesforuniversalmeasurementbasedquantumcomputation