Reconstructing the profile of time-varying magnetic fields with quantum sensors
Quantum systems have shown great promise for precision metrology thanks to advances in their control. This has allowed not only the sensitive estimation of external parameters but also the reconstruction of their temporal profile. In particular, quantum control techniques and orthogonal function the...
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2014
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| Online Access: | http://hdl.handle.net/1721.1/84079 https://orcid.org/0000-0003-3207-594X https://orcid.org/0000-0002-8759-9647 |
| _version_ | 1826200238082228224 |
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| author | Magesan, Easwar Yum, Honam Cappellaro, Paola Cooper-Roy, Alexandre |
| author2 | Massachusetts Institute of Technology. Department of Nuclear Science and Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Nuclear Science and Engineering Magesan, Easwar Yum, Honam Cappellaro, Paola Cooper-Roy, Alexandre |
| author_sort | Magesan, Easwar |
| collection | MIT |
| description | Quantum systems have shown great promise for precision metrology thanks to advances in their control. This has allowed not only the sensitive estimation of external parameters but also the reconstruction of their temporal profile. In particular, quantum control techniques and orthogonal function theory have been applied to the reconstruction of the complete profiles of time-varying magnetic fields. Here, we provide a detailed theoretical analysis of the reconstruction method based on the Walsh functions, highlighting the relationship between the orthonormal Walsh basis, sensitivity of field reconstructions, data compression techniques, and dynamical decoupling theory. Specifically, we show how properties of the Walsh basis and a detailed sensitivity analysis of the reconstruction protocol provide a method to characterize the error between the reconstructed and true fields. In addition, we prove various results about the negligibility function on binary sequences which lead to data compression techniques in the Walsh basis and a more resource-efficient reconstruction protocol. The negligibility proves a fruitful concept to unify the information content of Walsh functions and their dynamical decoupling power, which makes the reconstruction method robust against noise. |
| first_indexed | 2024-09-23T11:33:20Z |
| format | Article |
| id | mit-1721.1/84079 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T11:33:20Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/840792022-09-27T20:17:55Z Reconstructing the profile of time-varying magnetic fields with quantum sensors Magesan, Easwar Yum, Honam Cappellaro, Paola Cooper-Roy, Alexandre Massachusetts Institute of Technology. Department of Nuclear Science and Engineering Massachusetts Institute of Technology. Research Laboratory of Electronics Magesan, Easwar Cooper-Roy, Alexandre Yum, Honam Cappellaro, Paola Quantum systems have shown great promise for precision metrology thanks to advances in their control. This has allowed not only the sensitive estimation of external parameters but also the reconstruction of their temporal profile. In particular, quantum control techniques and orthogonal function theory have been applied to the reconstruction of the complete profiles of time-varying magnetic fields. Here, we provide a detailed theoretical analysis of the reconstruction method based on the Walsh functions, highlighting the relationship between the orthonormal Walsh basis, sensitivity of field reconstructions, data compression techniques, and dynamical decoupling theory. Specifically, we show how properties of the Walsh basis and a detailed sensitivity analysis of the reconstruction protocol provide a method to characterize the error between the reconstructed and true fields. In addition, we prove various results about the negligibility function on binary sequences which lead to data compression techniques in the Walsh basis and a more resource-efficient reconstruction protocol. The negligibility proves a fruitful concept to unify the information content of Walsh functions and their dynamical decoupling power, which makes the reconstruction method robust against noise. United States. Army Research Office. Multidisciplinary University Research Initiative (Grant W911NF-11-1-0400) United States. Defense Advanced Research Projects Agency. Quantum Sensors Program 2014-01-17T20:36:24Z 2014-01-17T20:36:24Z 2013-09 2013-06 Article http://purl.org/eprint/type/JournalArticle 1050-2947 1094-1622 http://hdl.handle.net/1721.1/84079 Magesan, Easwar, Alexandre Cooper, Honam Yum, and Paola Cappellaro. “Reconstructing the profile of time-varying magnetic fields with quantum sensors.” Physical Review A 88, no. 3 (September 2013). © 2013 American Physical Society https://orcid.org/0000-0003-3207-594X https://orcid.org/0000-0002-8759-9647 en_US http://dx.doi.org/10.1103/PhysRevA.88.032107 Physical Review A Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society American Physical Society |
| spellingShingle | Magesan, Easwar Yum, Honam Cappellaro, Paola Cooper-Roy, Alexandre Reconstructing the profile of time-varying magnetic fields with quantum sensors |
| title | Reconstructing the profile of time-varying magnetic fields with quantum sensors |
| title_full | Reconstructing the profile of time-varying magnetic fields with quantum sensors |
| title_fullStr | Reconstructing the profile of time-varying magnetic fields with quantum sensors |
| title_full_unstemmed | Reconstructing the profile of time-varying magnetic fields with quantum sensors |
| title_short | Reconstructing the profile of time-varying magnetic fields with quantum sensors |
| title_sort | reconstructing the profile of time varying magnetic fields with quantum sensors |
| url | http://hdl.handle.net/1721.1/84079 https://orcid.org/0000-0003-3207-594X https://orcid.org/0000-0002-8759-9647 |
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