Relations between convergence rates in Schatten p-norms

Details Relations between convergence rates in Schatten p-norms Relations between convergence rates in Schatten p-norms

2007-11-05

arxiv.org/abs/0711.0721v1

J. Math. Phys. 49, 013504 (2008)

Physics

Quantum Physics

Scientific paper

10.1063/1.2830521

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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