15 citations · 37 across the 19 of their papers we have counts for
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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 independent unitary Brownian motions. In the large size limit, its…
Open Quantum Random Walks and Quantum Markov chains on Trees II: The recurrence
Farrukh Mukhamedov, Abdessatar Souissi, Tarek Hamdi +1
In the present paper, we construct QMC (Quantum Markov Chains) associated with Open Quantum Random Walks such that the transition operator of the chain is defined by OQRW and the r…
Open Quantum Random Walks and Quantum Markov chains on Trees I: Phase transitions
Farrukh Mukhamedov, Abdessatar Souissi, Tarek Hamdi
In the present paper, we construct QMC (Quantum Markov Chains) associated with Open Quantum Random Walks such that the transition operator of the chain is defined by OQRW and the r…
Relating moments of self-adjoint polynomials in two orthogonal projections
Nizar Demni, Tarek Hamdi
Given two orthogonal projections in a non commutative tracial probability space, we prove relations between the moments of , of and of and…