Averaging CFIM over Haar-random bases yields exactly half the QFIM for pure states in C^N, with O(N^{-1}) variance and exp(-Θ(N)t²) concentration bounds enabling accurate QFIM approximation from few random measurements.
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Quantum Fisher information matrix via its classical counterpart from random measurements
Averaging CFIM over Haar-random bases yields exactly half the QFIM for pure states in C^N, with O(N^{-1}) variance and exp(-Θ(N)t²) concentration bounds enabling accurate QFIM approximation from few random measurements.