188 citations · 1.3k across the 84 of their papers we have counts for
5 papers · 1 filter
Gaussianization and eigenvalue statistics for random quantum channels (III)
Benoît Collins, Ion Nechita
In this paper, we present applications of the calculus developed in Collins and Nechita [Comm. Math. Phys. 297 (2010) 345-370] and obtain an exact formula for the moments of random…
Quantum Trajectories in Random Environment: the Statistical Model for a Heat Bath
Ion Nechita, Clément Pellegrini
In this article, we derive the stochastic master equations corresponding to the statistical model of a heat bath. These stochastic differential equations are obtained as continuous…
Random quantum channels I: graphical calculus and the Bell state phenomenon
Benoît Collins, Ion Nechita
This paper is the first of a series where we study quantum channels from the random matrix point of view. We develop a graphical tool that allows us to compute the expected moments…
Random quantum channels II: Entanglement of random subspaces, Renyi entropy estimates and additivity problems
Benoît Collins, Ion Nechita
In this paper we obtain new bounds for the minimum output entropies of random quantum channels. These bounds rely on random matrix techniques arising from free probability theory.…
Random repeated quantum interactions and random invariant states
Ion Nechita, Clément Pellegrini
We consider a generalized model of repeated quantum interactions, where a system is interacting in a random way with a sequence of independent quantum systems $\mathc…