Optimal convergence rates in the Cushen-Hudson quantum central limit theorem
演讲者
Milad Moazami Goodarzi
时间
2025年02月19日 15:30 至 17:00
地点
A7-201
线上
Zoom 537 192 5549
(BIMSA)
摘要
The Cushen-Hudson quantum central limit theorem states that quantum convolutions of a centered quantum state with finite energy converge weakly to a Gaussian state with matching first moments and covariance matrix. Recently, stronger versions of this result have been established by providing convergence rates in various distance measures. In this talk, I will present a recent contribution that establishes optimal, mode-independent rates of convergence in trace distance and quantum relative entropy under minimal moment assumptions. This work is based on a collaboration with Salman Beigi and Hami Mehrabi.
$\hbar$
$\omega$
$\mathbb{Q}_p$
$\partial$
$\int$
$\infty$
$\hbar$
$\omega$
$\mathbb{Q}_p$
$\partial$
$\int$
$\infty$