Geometric property of off resonance error robust composite pulse

The precision of quantum operations is affected by unavoidable systematic errors. A composite pulse (CP), which has been well investigated in nuclear magnetic resonance (NMR), is a technique that suppresses the influence of systematic errors by replacing a single operation with a sequence of operati...

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Autores principales: Kukita, Shingo, Kiya, Haruki, Kondo, Yasushi
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9187774/
https://www.ncbi.nlm.nih.gov/pubmed/35688848
http://dx.doi.org/10.1038/s41598-022-13207-z
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author Kukita, Shingo
Kiya, Haruki
Kondo, Yasushi
author_facet Kukita, Shingo
Kiya, Haruki
Kondo, Yasushi
author_sort Kukita, Shingo
collection PubMed
description The precision of quantum operations is affected by unavoidable systematic errors. A composite pulse (CP), which has been well investigated in nuclear magnetic resonance (NMR), is a technique that suppresses the influence of systematic errors by replacing a single operation with a sequence of operations. In one-qubit operations, there are two typical systematic errors, Pulse Length Error (PLE) and Off Resonance Error (ORE). Recently, it was found that PLE robust CPs have a clear geometric property. In this study, we show that ORE robust CPs also have a simple geometric property, which is associated with trajectories on the Bloch sphere of the corresponding operations. We discuss the geometric property of ORE robust CPs using two examples.
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spelling pubmed-91877742022-06-12 Geometric property of off resonance error robust composite pulse Kukita, Shingo Kiya, Haruki Kondo, Yasushi Sci Rep Article The precision of quantum operations is affected by unavoidable systematic errors. A composite pulse (CP), which has been well investigated in nuclear magnetic resonance (NMR), is a technique that suppresses the influence of systematic errors by replacing a single operation with a sequence of operations. In one-qubit operations, there are two typical systematic errors, Pulse Length Error (PLE) and Off Resonance Error (ORE). Recently, it was found that PLE robust CPs have a clear geometric property. In this study, we show that ORE robust CPs also have a simple geometric property, which is associated with trajectories on the Bloch sphere of the corresponding operations. We discuss the geometric property of ORE robust CPs using two examples. Nature Publishing Group UK 2022-06-10 /pmc/articles/PMC9187774/ /pubmed/35688848 http://dx.doi.org/10.1038/s41598-022-13207-z Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Kukita, Shingo
Kiya, Haruki
Kondo, Yasushi
Geometric property of off resonance error robust composite pulse
title Geometric property of off resonance error robust composite pulse
title_full Geometric property of off resonance error robust composite pulse
title_fullStr Geometric property of off resonance error robust composite pulse
title_full_unstemmed Geometric property of off resonance error robust composite pulse
title_short Geometric property of off resonance error robust composite pulse
title_sort geometric property of off resonance error robust composite pulse
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9187774/
https://www.ncbi.nlm.nih.gov/pubmed/35688848
http://dx.doi.org/10.1038/s41598-022-13207-z
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