Optimal convergence rates in trace distance and relative entropy for the quantum central limit theorem

Salman Beigi, Milad M. Goodarzi, Hami Mehrabi

A quantum analogue of the Central Limit Theorem (CLT) for bosonic system, first introduced by Cushen and Hudson (1971), states that the $n$-fold convolution ${\rho }^{⊞n}$ of an…