Experimentally efficient methods for estimating the performance of quantum measurements
Efficient methods for characterizing the performance of quantum measurements are important in the experimental quantum sciences. Ideally, one requires both a physically relevant distinguishability measure between measurement operations and a well-defined experimental procedure for estimating the dis...
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American Physical Society
2013
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Online Access: | http://hdl.handle.net/1721.1/81395 https://orcid.org/0000-0003-3207-594X |
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author | Magesan, Easwar Cappellaro, Paola |
author2 | Massachusetts Institute of Technology. Department of Nuclear Science and Engineering |
author_facet | Massachusetts Institute of Technology. Department of Nuclear Science and Engineering Magesan, Easwar Cappellaro, Paola |
author_sort | Magesan, Easwar |
collection | MIT |
description | Efficient methods for characterizing the performance of quantum measurements are important in the experimental quantum sciences. Ideally, one requires both a physically relevant distinguishability measure between measurement operations and a well-defined experimental procedure for estimating the distinguishability measure. Here, we propose the average measurement fidelity and error between quantum measurements as distinguishability measures. We present protocols for obtaining bounds on these quantities that are both estimable using experimentally accessible quantities and scalable in the size of the quantum system. We also explain why the bounds should be valid in large generality and illustrate the method via numerical examples. |
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format | Article |
id | mit-1721.1/81395 |
institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T09:27:51Z |
publishDate | 2013 |
publisher | American Physical Society |
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spelling | mit-1721.1/813952022-09-30T14:31:34Z Experimentally efficient methods for estimating the performance of quantum measurements Magesan, Easwar Cappellaro, Paola Massachusetts Institute of Technology. Department of Nuclear Science and Engineering Massachusetts Institute of Technology. Research Laboratory of Electronics Magesan, Easwar Cappellaro, Paola Efficient methods for characterizing the performance of quantum measurements are important in the experimental quantum sciences. Ideally, one requires both a physically relevant distinguishability measure between measurement operations and a well-defined experimental procedure for estimating the distinguishability measure. Here, we propose the average measurement fidelity and error between quantum measurements as distinguishability measures. We present protocols for obtaining bounds on these quantities that are both estimable using experimentally accessible quantities and scalable in the size of the quantum system. We also explain why the bounds should be valid in large generality and illustrate the method via numerical examples. National Science Foundation (U.S.) (Grant NSF PHY-1125846) 2013-10-16T12:19:02Z 2013-10-16T12:19:02Z 2013-08 2013-02 Article http://purl.org/eprint/type/JournalArticle 1050-2947 1094-1622 http://hdl.handle.net/1721.1/81395 Magesan, Easwar, and Paola Cappellaro. “Experimentally efficient methods for estimating the performance of quantum measurements.” Physical Review A 88, no. 2 (August 2013). © 2013 American Physical Society https://orcid.org/0000-0003-3207-594X en_US http://dx.doi.org/10.1103/PhysRevA.88.022127 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 American Physical Society |
spellingShingle | Magesan, Easwar Cappellaro, Paola Experimentally efficient methods for estimating the performance of quantum measurements |
title | Experimentally efficient methods for estimating the performance of quantum measurements |
title_full | Experimentally efficient methods for estimating the performance of quantum measurements |
title_fullStr | Experimentally efficient methods for estimating the performance of quantum measurements |
title_full_unstemmed | Experimentally efficient methods for estimating the performance of quantum measurements |
title_short | Experimentally efficient methods for estimating the performance of quantum measurements |
title_sort | experimentally efficient methods for estimating the performance of quantum measurements |
url | http://hdl.handle.net/1721.1/81395 https://orcid.org/0000-0003-3207-594X |
work_keys_str_mv | AT magesaneaswar experimentallyefficientmethodsforestimatingtheperformanceofquantummeasurements AT cappellaropaola experimentallyefficientmethodsforestimatingtheperformanceofquantummeasurements |