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Experimental quantum compressed sensing for a seven-qubit system

Well-controlled quantum devices with their increasing system size face a new roadblock hindering further development of quantum technologies. The effort of quantum tomography—the reconstruction of states and processes of a quantum device—scales unfavourably: state-of-the-art systems can no longer be...

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Autores principales: Riofrío, C. A., Gross, D., Flammia, S. T., Monz, T., Nigg, D., Blatt, R., Eisert, J.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5442320/
https://www.ncbi.nlm.nih.gov/pubmed/28513587
http://dx.doi.org/10.1038/ncomms15305
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author Riofrío, C. A.
Gross, D.
Flammia, S. T.
Monz, T.
Nigg, D.
Blatt, R.
Eisert, J.
author_facet Riofrío, C. A.
Gross, D.
Flammia, S. T.
Monz, T.
Nigg, D.
Blatt, R.
Eisert, J.
author_sort Riofrío, C. A.
collection PubMed
description Well-controlled quantum devices with their increasing system size face a new roadblock hindering further development of quantum technologies. The effort of quantum tomography—the reconstruction of states and processes of a quantum device—scales unfavourably: state-of-the-art systems can no longer be characterized. Quantum compressed sensing mitigates this problem by reconstructing states from incomplete data. Here we present an experimental implementation of compressed tomography of a seven-qubit system—a topological colour code prepared in a trapped ion architecture. We are in the highly incomplete—127 Pauli basis measurement settings—and highly noisy—100 repetitions each—regime. Originally, compressed sensing was advocated for states with few non-zero eigenvalues. We argue that low-rank estimates are appropriate in general since statistical noise enables reliable reconstruction of only the leading eigenvectors. The remaining eigenvectors behave consistently with a random-matrix model that carries no information about the true state.
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spelling pubmed-54423202017-06-02 Experimental quantum compressed sensing for a seven-qubit system Riofrío, C. A. Gross, D. Flammia, S. T. Monz, T. Nigg, D. Blatt, R. Eisert, J. Nat Commun Article Well-controlled quantum devices with their increasing system size face a new roadblock hindering further development of quantum technologies. The effort of quantum tomography—the reconstruction of states and processes of a quantum device—scales unfavourably: state-of-the-art systems can no longer be characterized. Quantum compressed sensing mitigates this problem by reconstructing states from incomplete data. Here we present an experimental implementation of compressed tomography of a seven-qubit system—a topological colour code prepared in a trapped ion architecture. We are in the highly incomplete—127 Pauli basis measurement settings—and highly noisy—100 repetitions each—regime. Originally, compressed sensing was advocated for states with few non-zero eigenvalues. We argue that low-rank estimates are appropriate in general since statistical noise enables reliable reconstruction of only the leading eigenvectors. The remaining eigenvectors behave consistently with a random-matrix model that carries no information about the true state. Nature Publishing Group 2017-05-17 /pmc/articles/PMC5442320/ /pubmed/28513587 http://dx.doi.org/10.1038/ncomms15305 Text en Copyright © 2017, The Author(s) http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article's Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
spellingShingle Article
Riofrío, C. A.
Gross, D.
Flammia, S. T.
Monz, T.
Nigg, D.
Blatt, R.
Eisert, J.
Experimental quantum compressed sensing for a seven-qubit system
title Experimental quantum compressed sensing for a seven-qubit system
title_full Experimental quantum compressed sensing for a seven-qubit system
title_fullStr Experimental quantum compressed sensing for a seven-qubit system
title_full_unstemmed Experimental quantum compressed sensing for a seven-qubit system
title_short Experimental quantum compressed sensing for a seven-qubit system
title_sort experimental quantum compressed sensing for a seven-qubit system
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5442320/
https://www.ncbi.nlm.nih.gov/pubmed/28513587
http://dx.doi.org/10.1038/ncomms15305
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