Use of composite rotations to correct systematic errors in NMR quantum computation
We implement an ensemble quantum counting algorithm on three NMR spectrometers with <sup>1</sup> H resonance frequencies of 500, 600 and 750 MHz. At higher frequencies, the results deviate markedly from naive theoretical predictions. These systematic errors can be attributed almost entir...
| Main Authors: | , |
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| Format: | Journal article |
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IOP Publishing
2000
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| _version_ | 1797096122237321216 |
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| author | Cummins, H Jones, J |
| author_facet | Cummins, H Jones, J |
| author_sort | Cummins, H |
| collection | OXFORD |
| description | We implement an ensemble quantum counting algorithm on three NMR spectrometers with <sup>1</sup> H resonance frequencies of 500, 600 and 750 MHz. At higher frequencies, the results deviate markedly from naive theoretical predictions. These systematic errors can be attributed almost entirely to off-resonance effects, which can be substantially corrected for using fully compensating composite rotation pulse sequences originally developed by Tycko. We also derive an analytic expression for generating such sequences with arbitrary rotation angles. |
| first_indexed | 2024-03-07T04:37:32Z |
| format | Journal article |
| id | oxford-uuid:d07ac8f9-1d63-49b6-acb7-746778bb8d42 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T04:37:32Z |
| publishDate | 2000 |
| publisher | IOP Publishing |
| record_format | dspace |
| spelling | oxford-uuid:d07ac8f9-1d63-49b6-acb7-746778bb8d422022-03-27T07:50:13ZUse of composite rotations to correct systematic errors in NMR quantum computationJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:d07ac8f9-1d63-49b6-acb7-746778bb8d42Symplectic Elements at OxfordIOP Publishing2000Cummins, HJones, JWe implement an ensemble quantum counting algorithm on three NMR spectrometers with <sup>1</sup> H resonance frequencies of 500, 600 and 750 MHz. At higher frequencies, the results deviate markedly from naive theoretical predictions. These systematic errors can be attributed almost entirely to off-resonance effects, which can be substantially corrected for using fully compensating composite rotation pulse sequences originally developed by Tycko. We also derive an analytic expression for generating such sequences with arbitrary rotation angles. |
| spellingShingle | Cummins, H Jones, J Use of composite rotations to correct systematic errors in NMR quantum computation |
| title | Use of composite rotations to correct systematic errors in NMR quantum computation |
| title_full | Use of composite rotations to correct systematic errors in NMR quantum computation |
| title_fullStr | Use of composite rotations to correct systematic errors in NMR quantum computation |
| title_full_unstemmed | Use of composite rotations to correct systematic errors in NMR quantum computation |
| title_short | Use of composite rotations to correct systematic errors in NMR quantum computation |
| title_sort | use of composite rotations to correct systematic errors in nmr quantum computation |
| work_keys_str_mv | AT cumminsh useofcompositerotationstocorrectsystematicerrorsinnmrquantumcomputation AT jonesj useofcompositerotationstocorrectsystematicerrorsinnmrquantumcomputation |