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Optimal measurements for simultaneous quantum estimation of multiple phases

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Pezzè, Luca, Ciampini, Mario A., Spagnolo, Nicolò, Humphreys, Peter C., Datta, Animesh, Walmsley, Ian A., Barbieri, Marco, Sciarrino, Fabio and Smerzi, Augusto (2017) Optimal measurements for simultaneous quantum estimation of multiple phases. Physical Review Letters, 119 (13). 130504. doi:10.1103/PhysRevLett.119.130504

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Official URL: http://doi.org/10.1103/PhysRevLett.119.130504

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Abstract

A quantum theory of multiphase estimation is crucial for quantum-enhanced sensing and imaging and may link quantum metrology to more complex quantum computation and communication protocols. In this Letter, we tackle one of the key difficulties of multiphase estimation: obtaining a measurement which saturates the fundamental sensitivity bounds. We derive necessary and sufficient conditions for projective measurements acting on pure states to saturate the ultimate theoretical bound on precision given by the quantum Fisher information matrix. We apply our theory to the specific example of interferometric phase estimation using photon number measurements, a convenient choice in the laboratory. Our results thus introduce concepts and methods relevant to the future theoretical and experimental development of multiparameter estimation.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Divisions: Faculty of Science > Physics
SWORD Depositor: Library Publications Router
Library of Congress Subject Headings (LCSH): Quantum theory, Metrology, Quantum computing
Journal or Publication Title: Physical Review Letters
Publisher: American Physical Society
ISSN: 1079-7114
Official Date: 29 September 2017
Dates:
DateEvent
29 September 2017Published
29 September 2017Available
17 May 2017Accepted
Volume: 119
Number: 13
Article Number: 130504
DOI: 10.1103/PhysRevLett.119.130504
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
307783European Research Councilhttp://viaf.org/viaf/130022607
641039H2020 European Research Councilhttp://dx.doi.org/10.13039/100010663
EP/K04057X/2[EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266
EP/M01326X/1[EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266
EP/M013243/1[EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266

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