Title :
Conditional SIC-POVMs
Author :
Petz, Denes ; Ruppert, Laszlo ; Szanto, Andras
Author_Institution :
Dept. of Math. Anal., Budapest Univ. of Technol. & Econ., Budapest, Hungary
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;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2013.2285152
