Fisher-Symmetric Informationally Complete Measurements for Pure States.

Publication Type:
Journal Article
Citation:
Physical review letters, 2016, 116 (18), pp. 180402 - ?
Issue Date:
2016-05-05
Full metadata record
Files in This Item:
Filename Description Size
1507.06904v2.pdfAccepted Manuscript Version169.15 kB
Adobe PDF
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.
Please use this identifier to cite or link to this item: