Time-Symmetric Quantum Theory of Smoothing
Smoothing is an estimation technique that takes into account both past and future observations and can be more accurate than filtering alone. In this Letter, a quantum theory of smoothing is constructed using a time-symmetric formalism, thereby generalizing prior work on classical and quantum filter...
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2010
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| Online Access: | http://hdl.handle.net/1721.1/51032 https://orcid.org/0000-0001-7173-1239 |
| _version_ | 1810985005078282240 |
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| author | Tsang, Mankei |
| author2 | Massachusetts Institute of Technology. Research Laboratory of Electronics |
| author_facet | Massachusetts Institute of Technology. Research Laboratory of Electronics Tsang, Mankei |
| author_sort | Tsang, Mankei |
| collection | MIT |
| description | Smoothing is an estimation technique that takes into account both past and future observations and can be more accurate than filtering alone. In this Letter, a quantum theory of smoothing is constructed using a time-symmetric formalism, thereby generalizing prior work on classical and quantum filtering, retrodiction, and smoothing. The proposed theory solves the important problem of optimally estimating classical Markov processes coupled to a quantum system under continuous measurements, and is thus expected to find major applications in future quantum sensing systems, such as gravitational wave detectors and atomic magnetometers. |
| first_indexed | 2024-09-23T11:11:26Z |
| format | Article |
| id | mit-1721.1/51032 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T11:11:26Z |
| publishDate | 2010 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/510322022-09-27T17:42:53Z Time-Symmetric Quantum Theory of Smoothing Tsang, Mankei Massachusetts Institute of Technology. Research Laboratory of Electronics Tsang, Mankei Tsang, Mankei Smoothing is an estimation technique that takes into account both past and future observations and can be more accurate than filtering alone. In this Letter, a quantum theory of smoothing is constructed using a time-symmetric formalism, thereby generalizing prior work on classical and quantum filtering, retrodiction, and smoothing. The proposed theory solves the important problem of optimally estimating classical Markov processes coupled to a quantum system under continuous measurements, and is thus expected to find major applications in future quantum sensing systems, such as gravitational wave detectors and atomic magnetometers. 2010-01-29T18:14:34Z 2010-01-29T18:14:34Z 2009-06 2009-04 Article http://purl.org/eprint/type/JournalArticle 0031-9007 http://hdl.handle.net/1721.1/51032 Tsang, Mankei . “Time-Symmetric Quantum Theory of Smoothing.” Physical Review Letters 102.25 (2009): 250403. (C) 2010 The American Physical Society. https://orcid.org/0000-0001-7173-1239 en_US http://dx.doi.org/10.1103/PhysRevLett.102.250403 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 | Tsang, Mankei Time-Symmetric Quantum Theory of Smoothing |
| title | Time-Symmetric Quantum Theory of Smoothing |
| title_full | Time-Symmetric Quantum Theory of Smoothing |
| title_fullStr | Time-Symmetric Quantum Theory of Smoothing |
| title_full_unstemmed | Time-Symmetric Quantum Theory of Smoothing |
| title_short | Time-Symmetric Quantum Theory of Smoothing |
| title_sort | time symmetric quantum theory of smoothing |
| url | http://hdl.handle.net/1721.1/51032 https://orcid.org/0000-0001-7173-1239 |
| work_keys_str_mv | AT tsangmankei timesymmetricquantumtheoryofsmoothing |