Quantum-enhanced metrology for multiple phase estimation with noise
We present a general quantum metrology framework to study the simultaneous estimation of multiple phases in the presence of noise as a discretized model for phase imaging. This approach can lead to nontrivial bounds of the precision for multiphase estimation. Our results show that simultaneous estim...
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| Format: | Online |
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Nature Publishing Group
2014
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| Online Access: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4123202/ |
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pubmed-41232022014-08-14 Quantum-enhanced metrology for multiple phase estimation with noise Yue, Jie-Dong Zhang, Yu-Ran Fan, Heng Article We present a general quantum metrology framework to study the simultaneous estimation of multiple phases in the presence of noise as a discretized model for phase imaging. This approach can lead to nontrivial bounds of the precision for multiphase estimation. Our results show that simultaneous estimation (SE) of multiple phases is always better than individual estimation (IE) of each phase even in noisy environment. The utility of the bounds of multiple phase estimation for photon loss channels is exemplified explicitly. When noise is low, those bounds possess the Heisenberg scale showing quantum-enhanced precision with the O(d) advantage for SE, where d is the number of phases. However, this O(d) advantage of SE scheme in the variance of the estimation may disappear asymptotically when photon loss becomes significant and then only a constant advantage over that of IE scheme demonstrates. Potential application of those results is presented. Nature Publishing Group 2014-08-04 /pmc/articles/PMC4123202/ /pubmed/25090445 http://dx.doi.org/10.1038/srep05933 Text en Copyright © 2014, Macmillan Publishers Limited. All rights reserved http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article's Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder in order to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ |
| repository_type |
Open Access Journal |
| institution_category |
Foreign Institution |
| institution |
US National Center for Biotechnology Information |
| building |
NCBI PubMed |
| collection |
Online Access |
| language |
English |
| format |
Online |
| author |
Yue, Jie-Dong Zhang, Yu-Ran Fan, Heng |
| spellingShingle |
Yue, Jie-Dong Zhang, Yu-Ran Fan, Heng Quantum-enhanced metrology for multiple phase estimation with noise |
| author_facet |
Yue, Jie-Dong Zhang, Yu-Ran Fan, Heng |
| author_sort |
Yue, Jie-Dong |
| title |
Quantum-enhanced metrology for multiple phase estimation with noise |
| title_short |
Quantum-enhanced metrology for multiple phase estimation with noise |
| title_full |
Quantum-enhanced metrology for multiple phase estimation with noise |
| title_fullStr |
Quantum-enhanced metrology for multiple phase estimation with noise |
| title_full_unstemmed |
Quantum-enhanced metrology for multiple phase estimation with noise |
| title_sort |
quantum-enhanced metrology for multiple phase estimation with noise |
| description |
We present a general quantum metrology framework to study the simultaneous estimation of multiple phases in the presence of noise as a discretized model for phase imaging. This approach can lead to nontrivial bounds of the precision for multiphase estimation. Our results show that simultaneous estimation (SE) of multiple phases is always better than individual estimation (IE) of each phase even in noisy environment. The utility of the bounds of multiple phase estimation for photon loss channels is exemplified explicitly. When noise is low, those bounds possess the Heisenberg scale showing quantum-enhanced precision with the O(d) advantage for SE, where d is the number of phases. However, this O(d) advantage of SE scheme in the variance of the estimation may disappear asymptotically when photon loss becomes significant and then only a constant advantage over that of IE scheme demonstrates. Potential application of those results is presented. |
| publisher |
Nature Publishing Group |
| publishDate |
2014 |
| url |
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4123202/ |
| _version_ |
1613121412022665216 |