# Tomographic reconstruction of quantum metrics

@article{Laudato2017TomographicRO,
title={Tomographic reconstruction of quantum metrics},
author={Marco Laudato and Giuseppe Marmo and Fabio M. Mele and Franco Ventriglia and Patrizia Vitale},
journal={Journal of Physics A: Mathematical and Theoretical},
year={2017},
volume={51}
}
• Published 5 April 2017
• Mathematics
• Journal of Physics A: Mathematical and Theoretical
In the framework of quantum information geometry we investigate the relationship between monotone metric tensors uniquely defined on the space of quantum tomograms, once the tomographic scheme is chosen, and monotone quantum metrics on the space of quantum states, classified by operator monotone functions, according to the Petz classification theorem. We show that different metrics can be related through a change in the tomographic map and prove that there exists a bijective relation between…
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