Optimal convergence rates in the Cushen-Hudson quantum central limit theorem
Organizers
Speaker
Milad Moazami Goodarzi
Time
Wednesday, February 19, 2025 3:30 PM - 5:00 PM
Venue
A7-201
Online
Zoom 537 192 5549
(BIMSA)
Abstract
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.
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$\mathbb{Q}_p$
$\partial$
$\int$
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