Quantum tomography via equidistant states

Carlos Paiva Sánchez, B. Burgos-Inostroza, O. Jiménez and A. Delgado
PHYSICAL REVIEW A 82, 3 (2010)


We study the possibility of performing quantum state tomography via equidistant states. This class of states allows us to propose a non-symmetric informationally complete POVM based tomographic scheme. The scheme is defined for odd dimensions N and involves the measurement of N2 transition probabilities and an inversion, which can be analytically carried out by Fourier transform. The scheme can be modified to allow the reconstruction of states in the case of even dimensions at the expense of increasing the number of measurements to 3N2/2.

DOI: http://dx.doi.org/10.1103/PhysRevA.82.032115

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