Quantum process estimation via generic two-body correlations
Performance of quantum process estimation is naturally limited by fundamental, random, and systematic imperfections of preparations and measurements. These imperfections may lead to considerable errors in the process reconstruction because standard data-analysis techniques usually presume ideal devi...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
American Physical Society
2010
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| Online Access: | http://hdl.handle.net/1721.1/58981 |
| _version_ | 1811069241784270848 |
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| author | Mohseni, Masoud Masoud, A. T. Barreiro, Julio T. Kwiat, P. G. Aspuru-Guzik, Alan |
| author2 | Massachusetts Institute of Technology. Research Laboratory of Electronics |
| author_facet | Massachusetts Institute of Technology. Research Laboratory of Electronics Mohseni, Masoud Masoud, A. T. Barreiro, Julio T. Kwiat, P. G. Aspuru-Guzik, Alan |
| author_sort | Mohseni, Masoud |
| collection | MIT |
| description | Performance of quantum process estimation is naturally limited by fundamental, random, and systematic imperfections of preparations and measurements. These imperfections may lead to considerable errors in the process reconstruction because standard data-analysis techniques usually presume ideal devices. Here, by utilizing generic auxiliary quantum or classical correlations, we provide a framework for the estimation of quantum dynamics via a single measurement apparatus. By construction, this approach can be applied to quantum tomography schemes with calibrated faulty-state generators and analyzers. Specifically, we present a generalization of the work begun by M. Mohseni and D. A. Lidar [Phys. Rev. Lett. 97, 170501 (2006)] with an imperfect Bell-state analyzer. We demonstrate that for several physically relevant noisy preparations and measurements, classical correlations and a small data-processing overhead suffice to accomplish the full system identification. Furthermore, we provide the optimal input states whereby the error amplification due to inversion of the measurement data is minimal. |
| first_indexed | 2024-09-23T08:07:58Z |
| format | Article |
| id | mit-1721.1/58981 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T08:07:58Z |
| publishDate | 2010 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/589812022-09-23T11:07:01Z Quantum process estimation via generic two-body correlations Mohseni, Masoud Masoud, A. T. Barreiro, Julio T. Kwiat, P. G. Aspuru-Guzik, Alan Massachusetts Institute of Technology. Research Laboratory of Electronics Mohseni, Masoud Mohseni, Masoud Performance of quantum process estimation is naturally limited by fundamental, random, and systematic imperfections of preparations and measurements. These imperfections may lead to considerable errors in the process reconstruction because standard data-analysis techniques usually presume ideal devices. Here, by utilizing generic auxiliary quantum or classical correlations, we provide a framework for the estimation of quantum dynamics via a single measurement apparatus. By construction, this approach can be applied to quantum tomography schemes with calibrated faulty-state generators and analyzers. Specifically, we present a generalization of the work begun by M. Mohseni and D. A. Lidar [Phys. Rev. Lett. 97, 170501 (2006)] with an imperfect Bell-state analyzer. We demonstrate that for several physically relevant noisy preparations and measurements, classical correlations and a small data-processing overhead suffice to accomplish the full system identification. Furthermore, we provide the optimal input states whereby the error amplification due to inversion of the measurement data is minimal. Natural Sciences and Engineering Research Council Canada United States. Army Research Office project no. W911NF-07-1-0304 Mathematics of Information Technology and Complex Systems (Network) Pacific Institute for the Mathematical Sciences University of Southern California. Center for Quantum Information Science and Technology Quantum Computing Concept Maturation Optical Quantum Computing Project project no. W911NF-05-0397 United States. Intelligence Advanced Research Projects Activity Hyperentanglement-Enhanced Advanced Quantum Communication project NBCHC070006 2010-10-08T17:39:12Z 2010-10-08T17:39:12Z 2009-06 2010-03 Article http://purl.org/eprint/type/JournalArticle 1050-2947 1094-1622 http://hdl.handle.net/1721.1/58981 Mohseni, M., Rezakhani, A. T., Barreiro, J. T., Kwiat, P. G., and Aspuru-Guzik, A. (2010). Quantum process estimation via generic two-body correlations. Phys. Rev. A. 81: 032102/1-7. © 2010 The American Physical Society en_US http://dx.doi.org/10.1103/PhysRevA.81.032102 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 APS |
| spellingShingle | Mohseni, Masoud Masoud, A. T. Barreiro, Julio T. Kwiat, P. G. Aspuru-Guzik, Alan Quantum process estimation via generic two-body correlations |
| title | Quantum process estimation via generic two-body correlations |
| title_full | Quantum process estimation via generic two-body correlations |
| title_fullStr | Quantum process estimation via generic two-body correlations |
| title_full_unstemmed | Quantum process estimation via generic two-body correlations |
| title_short | Quantum process estimation via generic two-body correlations |
| title_sort | quantum process estimation via generic two body correlations |
| url | http://hdl.handle.net/1721.1/58981 |
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