4 papers
Central Limit Theorem for Bosonic Quantum Channels
Hami Mehrabi, Ludovico Lami, Mark M. Wilde
In this paper, we develop an extension of the Central Limit Theorem (CLT) to the setting of bosonic quantum channels. This extension provides a deeper understanding of Gaussian bos…
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 -fold convolution of an…
Monotonicity of the von Neumann Entropy under Quantum Convolution
Salman Beigi, Hami Mehrabi
The quantum entropy power inequality, proven by König and Smith (2012), states that for two -mode bosonic qua…
Towards Optimal Convergence Rates for the Quantum Central Limit Theorem
Salman Beigi, Hami Mehrabi
The quantum central limit theorem for bosonic quantum systems states that the sequence of states obtained from the -fold convolution of a centered quantum stat…