Relations between convergence rates in Schatten p-norms

Paolo Albini; Alessandro Toigo; Veronica Umanità

doi:10.1063/1.2830521

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arXiv · 0711.0721

Relations between convergence rates in Schatten p-norms

Paolo Albini·Alessandro Toigo·Veronica Umanità

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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 $p$-norms and in the trace class norm.

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Paolo Albini, Alessandro Toigo, Veronica Umanità. 2007-11-05. Relations between convergence rates in Schatten p-norms. https://doi.org/10.1063/1.2830521

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