Unbiased non-orthogonal bases for tomographic reconstruction
arXiv:1308.5942 · doi:10.1103/PhysRevA.81.052114
Abstract
We have developed a general method for constructing a set of non-orthogonal bases with equal separations between all different basis' states in prime dimensions.It results that the corresponding bi-orthogonal counterparts are pairwise unbiased with the components of the original bases. Using these bases we derive an explicit expression for the optimal tomography in non-orthogonal bases. Special two dimensional case is analyzed separately.