Statistical properties of fidelity in quantum tomography protocols in Hilbert spaces of different dimensions

Details Statistical properties of fidelity in quantum tomography protocols in Hilbert spaces of different dimensions Statistical properties of fidelity in quantum tomography protocols in Hilbert spaces of different dimensions

2011-02-18

arxiv.org/abs/1102.3880v1

Physics

Quantum Physics

Material of this article was mainly represented May 29, 2010 at the XIII International Conference on Quantum Optics and Quantu

Scientific paper

A throughout study of statistical characteristics of fidelity in different protocols of quantum tomography is given. We consider protocols based on geometry of platonic solids and other polyhedrons with high degree of symmetry such as fullerene and its dual polyhedron. Characteristics of fidelity in different protocols are compared to the theoretical level of the minimum possible level of fidelity loss. Tomography of pure and mixed states in Hilbert spaces of different dimension is analyzed. Results of this work could be used for a better control of quantum gates and quantum states in quantum information technologies.

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