Local Asymptotic Normality for Finite Dimensional Quantum Systems

@inproceedings{Kahn2009LocalAN,
  title={Local Asymptotic Normality for Finite Dimensional Quantum Systems},
  author={Jonas Kahn and M Ad˘ Alin Gut},
  year={2009}
}
We extend our previous results on local asymptotic normality (LAN) for qubits [18, 15] to quantum systems of arbitrary finite dimension d. LAN means that the quantum statistical model consisting of n identically prepared d-dimensional systems with joint state ρ converges as n → ∞ to a statistical model consisting of classical and quantum Gaussian variables with fixed and known covariance matrix, and unknown means related to the parameters of the density matrix ρ. Remarkably, the limit model… CONTINUE READING

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