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- Publisher Website: 10.1088/1751-8121/ab8b78
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Article: Quantum state estimation with nuisance parameters
Title | Quantum state estimation with nuisance parameters |
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Authors | |
Keywords | Quantum state estimation Quantum Cramér–Rao bounds Nuisance parameter |
Issue Date | 2020 |
Citation | Journal of Physics A: Mathematical and Theoretical, 2020, v. 53, n. 45, article no. 453001 How to Cite? |
Abstract | In parameter estimation, nuisance parameters refer to parameters that are not of interest but nevertheless affect the precision of estimating other parameters of interest. For instance, the strength of noises in a probe can be regarded as a nuisance parameter. Despite its long history in classical statistics, the nuisance parameter problem in quantum estimation remains largely unexplored. The goal of this article is to provide a systematic review of quantum estimation in the presence of nuisance parameters, and to supply those who work in quantum tomography and quantum metrology with tools to tackle relevant problems. After an introduction to the nuisance parameter and quantum estimation theory, we explicitly formulate the problem of quantum state estimation with nuisance parameters. We extend quantum Cramér–Rao bounds to the nuisance parameter case and provide a parameter orthogonalization tool to separate the nuisance parameters from the parameters of interest. In particular, we put more focus on the case of one-parameter estimation in the presence of nuisance parameters, as it is most frequently encountered in practice. |
Persistent Identifier | http://hdl.handle.net/10722/303691 |
ISSN | 2023 Impact Factor: 2.0 2023 SCImago Journal Rankings: 0.769 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Suzuki, Jun | - |
dc.contributor.author | Yang, Yuxiang | - |
dc.contributor.author | Hayashi, Masahito | - |
dc.date.accessioned | 2021-09-15T08:25:49Z | - |
dc.date.available | 2021-09-15T08:25:49Z | - |
dc.date.issued | 2020 | - |
dc.identifier.citation | Journal of Physics A: Mathematical and Theoretical, 2020, v. 53, n. 45, article no. 453001 | - |
dc.identifier.issn | 1751-8113 | - |
dc.identifier.uri | http://hdl.handle.net/10722/303691 | - |
dc.description.abstract | In parameter estimation, nuisance parameters refer to parameters that are not of interest but nevertheless affect the precision of estimating other parameters of interest. For instance, the strength of noises in a probe can be regarded as a nuisance parameter. Despite its long history in classical statistics, the nuisance parameter problem in quantum estimation remains largely unexplored. The goal of this article is to provide a systematic review of quantum estimation in the presence of nuisance parameters, and to supply those who work in quantum tomography and quantum metrology with tools to tackle relevant problems. After an introduction to the nuisance parameter and quantum estimation theory, we explicitly formulate the problem of quantum state estimation with nuisance parameters. We extend quantum Cramér–Rao bounds to the nuisance parameter case and provide a parameter orthogonalization tool to separate the nuisance parameters from the parameters of interest. In particular, we put more focus on the case of one-parameter estimation in the presence of nuisance parameters, as it is most frequently encountered in practice. | - |
dc.language | eng | - |
dc.relation.ispartof | Journal of Physics A: Mathematical and Theoretical | - |
dc.subject | Quantum state estimation | - |
dc.subject | Quantum Cramér–Rao bounds | - |
dc.subject | Nuisance parameter | - |
dc.title | Quantum state estimation with nuisance parameters | - |
dc.type | Article | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1088/1751-8121/ab8b78 | - |
dc.identifier.scopus | eid_2-s2.0-85089968222 | - |
dc.identifier.volume | 53 | - |
dc.identifier.issue | 45 | - |
dc.identifier.spage | article no. 453001 | - |
dc.identifier.epage | article no. 453001 | - |
dc.identifier.eissn | 1751-8121 | - |
dc.identifier.isi | WOS:000582544700001 | - |