Quantum Imaging by Coherent Enhancement
Conventional wisdom dictates that to image the position of fluorescent atoms or molecules, one should stimulate as much emission and collect as many photons as possible. That is, in this classical case, it has always been assumed that the coherence time of the system should be made short, and that t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2015
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| Online Access: | http://hdl.handle.net/1721.1/95994 https://orcid.org/0000-0001-7296-523X https://orcid.org/0000-0002-6211-982X https://orcid.org/0000-0001-9614-2836 |
| _version_ | 1811089055032541184 |
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| author | Low, Guang Hao Yoder, Theodore James Chuang, Isaac L. |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Low, Guang Hao Yoder, Theodore James Chuang, Isaac L. |
| author_sort | Low, Guang Hao |
| collection | MIT |
| description | Conventional wisdom dictates that to image the position of fluorescent atoms or molecules, one should stimulate as much emission and collect as many photons as possible. That is, in this classical case, it has always been assumed that the coherence time of the system should be made short, and that the statistical scaling ∼1/sqrt[t] defines the resolution limit for imaging time t. However, here we show in contrast that given the same resources, a long coherence time permits a higher resolution image. In this quantum regime, we give a procedure for determining the position of a single two-level system and demonstrate that the standard errors of our position estimates scale at the Heisenberg limit as ∼1/t, a quadratic, and notably optimal, improvement over the classical case. |
| first_indexed | 2024-09-23T14:13:03Z |
| format | Article |
| id | mit-1721.1/95994 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T14:13:03Z |
| publishDate | 2015 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/959942022-10-01T19:50:04Z Quantum Imaging by Coherent Enhancement Low, Guang Hao Yoder, Theodore James Chuang, Isaac L. Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. Research Laboratory of Electronics MIT-Harvard Center for Ultracold Atoms Low, Guang Hao Yoder, Theodore James Chuang, Isaac L. Conventional wisdom dictates that to image the position of fluorescent atoms or molecules, one should stimulate as much emission and collect as many photons as possible. That is, in this classical case, it has always been assumed that the coherence time of the system should be made short, and that the statistical scaling ∼1/sqrt[t] defines the resolution limit for imaging time t. However, here we show in contrast that given the same resources, a long coherence time permits a higher resolution image. In this quantum regime, we give a procedure for determining the position of a single two-level system and demonstrate that the standard errors of our position estimates scale at the Heisenberg limit as ∼1/t, a quadratic, and notably optimal, improvement over the classical case. MIT-Harvard Center for Ultracold Atoms MIT International Science and Technology Initiative National Science Foundation (U.S.). Integrative Graduate Education and Research Traineeship United States. Army Research Laboratory (Quantum Algorithms Program) 2015-03-12T19:06:08Z 2015-03-12T19:06:08Z 2015-03 2014-09 2015-03-11T22:00:04Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/95994 Low, Guang Hao, Theodore J. Yoder, and Isaac L. Chuang. “Quantum Imaging by Coherent Enhancement.” Physical Review Letters 114.10 (2015). © 2015 American Physical Society https://orcid.org/0000-0001-7296-523X https://orcid.org/0000-0002-6211-982X https://orcid.org/0000-0001-9614-2836 en http://dx.doi.org/10.1103/PhysRevLett.114.100801 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. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Low, Guang Hao Yoder, Theodore James Chuang, Isaac L. Quantum Imaging by Coherent Enhancement |
| title | Quantum Imaging by Coherent Enhancement |
| title_full | Quantum Imaging by Coherent Enhancement |
| title_fullStr | Quantum Imaging by Coherent Enhancement |
| title_full_unstemmed | Quantum Imaging by Coherent Enhancement |
| title_short | Quantum Imaging by Coherent Enhancement |
| title_sort | quantum imaging by coherent enhancement |
| url | http://hdl.handle.net/1721.1/95994 https://orcid.org/0000-0001-7296-523X https://orcid.org/0000-0002-6211-982X https://orcid.org/0000-0001-9614-2836 |
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