Compressing measurements in quantum dynamic parameter estimation
We present methods that can provide an exponential savings in the resources required to perform dynamic parameter estimation using quantum systems. The key idea is to merge classical compressive sensing techniques with quantum control methods to significantly reduce the number of signal coefficients...
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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/1721.1/85086 https://orcid.org/0000-0003-3207-594X https://orcid.org/0000-0002-8759-9647 |
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| author | Magesan, Easwar 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 Cappellaro, Paola Cooper-Roy, Alexandre |
| author_sort | Magesan, Easwar |
| collection | MIT |
| description | We present methods that can provide an exponential savings in the resources required to perform dynamic parameter estimation using quantum systems. The key idea is to merge classical compressive sensing techniques with quantum control methods to significantly reduce the number of signal coefficients that are required for reconstruction of time-varying parameters with high fidelity. We show that incoherent measurement bases and, more generally, suitable random measurement matrices can be created by performing simple control sequences on the quantum system. Random measurement matrices satisfying the restricted isometry property can be used efficiently to reconstruct signals that are sparse in any basis. Because many physical processes are approximately sparse in some basis, these methods can benefit a variety of applications such as quantum sensing and magnetometry with nitrogen-vacancy centers. |
| first_indexed | 2024-09-23T11:44:16Z |
| format | Article |
| id | mit-1721.1/85086 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T11:44:16Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/850862022-10-01T05:38:14Z Compressing measurements in quantum dynamic parameter estimation Magesan, Easwar 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 Cappellaro, Paola We present methods that can provide an exponential savings in the resources required to perform dynamic parameter estimation using quantum systems. The key idea is to merge classical compressive sensing techniques with quantum control methods to significantly reduce the number of signal coefficients that are required for reconstruction of time-varying parameters with high fidelity. We show that incoherent measurement bases and, more generally, suitable random measurement matrices can be created by performing simple control sequences on the quantum system. Random measurement matrices satisfying the restricted isometry property can be used efficiently to reconstruct signals that are sparse in any basis. Because many physical processes are approximately sparse in some basis, these methods can benefit a variety of applications such as quantum sensing and magnetometry with nitrogen-vacancy centers. National Science Foundation (U.S.) (Grant NSF PHY-1125846) 2014-02-24T19:31:27Z 2014-02-24T19:31:27Z 2013-12 2013-08 Article http://purl.org/eprint/type/JournalArticle 1050-2947 1094-1622 http://hdl.handle.net/1721.1/85086 Magesan, Easwar, Alexandre Cooper, and Paola Cappellaro. “Compressing Measurements in Quantum Dynamic Parameter Estimation.” Phys. Rev. A 88, no. 6 (December 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.88.062109 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 Cappellaro, Paola Cooper-Roy, Alexandre Compressing measurements in quantum dynamic parameter estimation |
| title | Compressing measurements in quantum dynamic parameter estimation |
| title_full | Compressing measurements in quantum dynamic parameter estimation |
| title_fullStr | Compressing measurements in quantum dynamic parameter estimation |
| title_full_unstemmed | Compressing measurements in quantum dynamic parameter estimation |
| title_short | Compressing measurements in quantum dynamic parameter estimation |
| title_sort | compressing measurements in quantum dynamic parameter estimation |
| url | http://hdl.handle.net/1721.1/85086 https://orcid.org/0000-0003-3207-594X https://orcid.org/0000-0002-8759-9647 |
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