Optimal O(n^{-1/2}) convergence in trace distance with third moments and O(n^{-1}) in relative entropy with fourth moments for the quantum CLT in m-mode bosonic systems.
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Optimal convergence rates in trace distance and relative entropy for the quantum central limit theorem
Optimal O(n^{-1/2}) convergence in trace distance with third moments and O(n^{-1}) in relative entropy with fourth moments for the quantum CLT in m-mode bosonic systems.