3 research outputs found
On the connection between mutually unbiased bases and orthogonal Latin squares
We offer a piece of evidence that the problems of finding the number of
mutually unbiased bases (MUB) and mutually orthogonal Latin squares (MOLS)
might not be equivalent. We study a particular procedure which has been shown
to relate the two problems and generates complete sets of MUBs in
power-of-prime dimensions and three MUBs in dimension six. For these cases,
every square from an augmented set of MOLS has a corresponding MUB. We show
that this no longer holds for certain composite dimensions.Comment: 6 pages, submitted to Proceedings of CEWQO 200
State tomography for two qubits using reduced densities
The optimal state determination (or tomography) is studied for a composite
system of two qubits when measurements can be performed on one of the qubits
and interactions of the two qubits can be implemented. The goal is to minimize
the number of interactions to be used. The algebraic method applied in the
paper leads to an extension of the concept of mutually unbiased measurements.Comment: 8 pages LATE