Salman Beigi

collaborators

3 papers

quant-ph2026

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 $I ¨ ^{⊞ n}$ of an…

quant-ph2025

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 $exp (S (ρ ⊞ σ) / m) \geq \frac{1}{2} (exp (S (ρ) / m) + exp (S (σ) / m))$ for two $m$ -mode bosonic qua…

quant-ph2025

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 $I ¨ ^{⊞ n}$ obtained from the $n$ -fold convolution of a centered quantum stat…