Quantum tomography via equidistant states
C. Paiva-S\'anchez, E. Burgos-Inostroza, O. Jim\'enez, A. Delgado
TL;DR
This paper proposes a quantum state tomography method using equidistant states to construct a non-symmetric informationally complete POVM, applicable in odd dimensions, with an analytically invertible Fourier transform-based scheme.
Contribution
Introduces a novel tomography scheme based on equidistant states and non-symmetric POVMs, with an analytical inversion method for odd-dimensional systems.
Findings
Effective tomography scheme for odd dimensions
Analytical inversion via Fourier transform
Potential for improved quantum state reconstruction
Abstract
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 and involves an inversion which can be analytically carried out by Fourier transform.
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