Fisher-symmetric informationally complete measurements for pure states

Li, Nan, Ferrie, Christopher, Gross, Jonathan A., Kalev, Amir and Caves, Carlton M. (2016) Fisher-symmetric informationally complete measurements for pure states. Physical Review Letters, 116 18: 180402-1-180402-5. doi:10.1103/PhysRevLett.116.180402

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Author Li, Nan
Ferrie, Christopher
Gross, Jonathan A.
Kalev, Amir
Caves, Carlton M.
Title Fisher-symmetric informationally complete measurements for pure states
Journal name Physical Review Letters   Check publisher's open access policy
ISSN 1079-7114
Publication date 2016-05-05
Year available 2016
Sub-type Article (original research)
DOI 10.1103/PhysRevLett.116.180402
Open Access Status File (Publisher version)
Volume 116
Issue 18
Start page 180402-1
End page 180402-5
Total pages 5
Place of publication College Park, MD, United States
Publisher American Physical Society
Collection year 2017
Language eng
Formatted abstract
We introduce a new kind of quantum measurement that is defined to be symmetric in the sense of uniform Fisher information across a set of parameters that uniquely represent pure quantum states in the neighborhood of a fiducial pure state. The measurement is locally informationally complete—i.e., it uniquely determines these parameters, as opposed to distinguishing two arbitrary quantum states—and it is maximal in the sense of a multiparameter quantum Cramér-Rao bound. For a d-dimensional quantum system, requiring only local informational completeness allows us to reduce the number of outcomes of the measurement from a minimum close to but below 4d - 3, for the usual notion of global pure-state informational completeness, to 2d - 1.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
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Created: Tue, 24 May 2016, 00:33:51 EST by System User on behalf of School of Mathematics & Physics