DocumentCode
45653
Title
Conditional SIC-POVMs
Author
Petz, Denes ; Ruppert, Laszlo ; Szanto, Andras
Author_Institution
Dept. of Math. Anal., Budapest Univ. of Technol. & Econ., Budapest, Hungary
Volume
60
Issue
1
fYear
2014
fDate
Jan. 2014
Firstpage
351
Lastpage
356
Abstract
In this paper, we examine a generalization of the symmetric informationally complete POVMs. SIC-POVMs are the optimal measurements for full quantum tomography, but if some parameters of the density matrix are known, then the optimal SIC POVM should be orthogonal to a subspace. This gives the concept of the conditional SIC-POVM. The existence is not known in general, but we give a result in the special case when the diagonal is known of the density matrix.
Keywords
information theory; matrix algebra; quantum theory; conditional SIC-POVM; density matrix; full quantum tomography; positive operator valued measure; symmetric informationally complete POVM; Density measurement; Equations; Minimization; Silicon carbide; State estimation; Tomography; Transmission line matrix methods; Difference set; POVM; quantum state tomography; quasi-orthogonality;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2013.2285152
Filename
6626609
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