Relations between convergence rates in Schatten p-norms
Quantum Physics
2009-11-13 v1
Abstract
In quantum estimation theory and quantum tomography, the quantum state obtained by sampling converges to the `true' unknown density matrix under topologies that are different from the natural notion of distance in the space of quantum states, i.e. the trace class norm. In this paper, we address such problem, finding relations between the rates of convergence in the Schatten -norms and in the trace class norm.
Keywords
Cite
@article{arxiv.0711.0721,
title = {Relations between convergence rates in Schatten p-norms},
author = {Paolo Albini and Alessandro Toigo and Veronica Umanità},
journal= {arXiv preprint arXiv:0711.0721},
year = {2009}
}