Unbiased non-orthogonal bases for tomographic reconstruction
Quantum Physics
2015-06-17 v1
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.
Keywords
Cite
@article{arxiv.1308.5942,
title = {Unbiased non-orthogonal bases for tomographic reconstruction},
author = {Isabel Sainz and Luis Roa and Andrei B. Klimov},
journal= {arXiv preprint arXiv:1308.5942},
year = {2015}
}