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Quantum tomography via compressed sensing: error bounds, sample complexity and efficient estimators

Quantum tomography via compressed sensing: error bounds, sample complexity and efficient estimators

Intuitively, if a density operator has small rank, then it should be easier to estimate from experimental data, since in this case only a few eigenvectors need to be learned. We prove two complementary results that confirm this intuition. First, we show that a low-rank density matrix can be estimated …