Geometric property of off resonance error robust composite pulse
Abstract 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 o...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2022-06-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-022-13207-z |
| _version_ | 1811251499874910208 |
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| author | Shingo Kukita Haruki Kiya Yasushi Kondo |
| author_facet | Shingo Kukita Haruki Kiya Yasushi Kondo |
| author_sort | Shingo Kukita |
| collection | DOAJ |
| description | Abstract 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. |
| first_indexed | 2024-04-12T16:20:20Z |
| format | Article |
| id | doaj.art-c7f9e292a31b4bc797de4e496fed9fa9 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-04-12T16:20:20Z |
| publishDate | 2022-06-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-c7f9e292a31b4bc797de4e496fed9fa92022-12-22T03:25:34ZengNature PortfolioScientific Reports2045-23222022-06-0112111010.1038/s41598-022-13207-zGeometric property of off resonance error robust composite pulseShingo Kukita0Haruki Kiya1Yasushi Kondo2Department of Physics, Kindai UniversityDepartment of Physics, Kindai UniversityDepartment of Physics, Kindai UniversityAbstract 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.https://doi.org/10.1038/s41598-022-13207-z |
| spellingShingle | Shingo Kukita Haruki Kiya Yasushi Kondo Geometric property of off resonance error robust composite pulse Scientific Reports |
| 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 |
| url | https://doi.org/10.1038/s41598-022-13207-z |
| work_keys_str_mv | AT shingokukita geometricpropertyofoffresonanceerrorrobustcompositepulse AT harukikiya geometricpropertyofoffresonanceerrorrobustcompositepulse AT yasushikondo geometricpropertyofoffresonanceerrorrobustcompositepulse |