Tarek Hamdi

activity

20122025

most citedOpen Quantum Random Walks and Quantum Markov chains on Trees I: Phase transitions

15 citations · 37 across the 19 of their papers we have counts for

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Showing 2022 · math.PRShow all

2 papers · 2 filters

math.PR2022

Summing free unitary Brownian motions with applications to quantum information

Nizar Demni, Tarek Hamdi

Motivated by quantum information theory, we introduce a dynamical random state built out of the sum of $k \geq 2$ independent unitary Brownian motions. In the large size limit, its…

math.PR2022

Relating moments of self-adjoint polynomials in two orthogonal projections

Nizar Demni, Tarek Hamdi

Given two orthogonal projections ${P, Q}$ in a non commutative tracial probability space, we prove relations between the moments of $P + Q$ , of $- 1 (P Q - QP)$ and of $P + QP Q$ and…