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arXiv · 1308.5942

Unbiased non-orthogonal bases for tomographic reconstruction

Isabel Sainz·Luis Roa·Andrei B. Klimov
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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.

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Isabel Sainz, Luis Roa, Andrei B. Klimov. 2013-08-27. Unbiased non-orthogonal bases for tomographic reconstruction. https://doi.org/10.1103/physreva.81.052114

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