Quantum Measurement Bounds beyond the Uncertainty Relations
In quantum mechanics, the Heisenberg uncertainty relations and the Cramér-Rao inequalities typically limit the precision in the estimation of a parameter through the standard deviation of a conjugate observable. Here we extend these relations by giving a bound to the precision of a parameter in term...
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2012
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| Online Access: | http://hdl.handle.net/1721.1/73516 |
| _version_ | 1826199602253004800 |
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| author | Giovannetti, Vittorio Lloyd, Seth Maccone, Lorenzo |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Giovannetti, Vittorio Lloyd, Seth Maccone, Lorenzo |
| author_sort | Giovannetti, Vittorio |
| collection | MIT |
| description | In quantum mechanics, the Heisenberg uncertainty relations and the Cramér-Rao inequalities typically limit the precision in the estimation of a parameter through the standard deviation of a conjugate observable. Here we extend these relations by giving a bound to the precision of a parameter in terms of the expectation value of the conjugate observable. This has both foundational and practical consequences: in quantum optics it resolves a controversy over which is the ultimate precision in interferometry. |
| first_indexed | 2024-09-23T11:22:32Z |
| format | Article |
| id | mit-1721.1/73516 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T11:22:32Z |
| publishDate | 2012 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/735162022-09-27T19:06:05Z Quantum Measurement Bounds beyond the Uncertainty Relations Giovannetti, Vittorio Lloyd, Seth Maccone, Lorenzo Massachusetts Institute of Technology. Department of Mechanical Engineering Lloyd, Seth In quantum mechanics, the Heisenberg uncertainty relations and the Cramér-Rao inequalities typically limit the precision in the estimation of a parameter through the standard deviation of a conjugate observable. Here we extend these relations by giving a bound to the precision of a parameter in terms of the expectation value of the conjugate observable. This has both foundational and practical consequences: in quantum optics it resolves a controversy over which is the ultimate precision in interferometry. Intel Corporation Lockheed Martin United States. Defense Advanced Research Projects Agency Eni-MIT Energy Initiative Founding Member Program National Science Foundation (U.S.). W. M. Keck Foundation Center for Extreme Quantum Information Theory 2012-10-01T16:46:28Z 2012-10-01T16:46:28Z 2012-06 2012-03 Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/73516 Giovannetti, Vittorio, Seth Lloyd, and Lorenzo Maccone. “Quantum Measurement Bounds Beyond the Uncertainty Relations.” Physical Review Letters 108.26 (2012): 260405. © 2012 American Physical Society. en_US http://dx.doi.org/10.1103/PhysRevLett.108.260405 Physical Review Letters 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 APS |
| spellingShingle | Giovannetti, Vittorio Lloyd, Seth Maccone, Lorenzo Quantum Measurement Bounds beyond the Uncertainty Relations |
| title | Quantum Measurement Bounds beyond the Uncertainty Relations |
| title_full | Quantum Measurement Bounds beyond the Uncertainty Relations |
| title_fullStr | Quantum Measurement Bounds beyond the Uncertainty Relations |
| title_full_unstemmed | Quantum Measurement Bounds beyond the Uncertainty Relations |
| title_short | Quantum Measurement Bounds beyond the Uncertainty Relations |
| title_sort | quantum measurement bounds beyond the uncertainty relations |
| url | http://hdl.handle.net/1721.1/73516 |
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