320 citations · 876 across the 45 of their papers we have counts for
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math-ph2013★ 32 cited
The Open Quantum Brownian Motion
Michel Bauer, Denis Bernard, Antoine Tilloy
Using quantum parallelism on random walks as original seed, we introduce new quantum stochastic processes, the open quantum Brownian motions. They describe the behaviors of quantum…
math-ph2013★ 24 cited
Open quantum random walks: bi-stability on pure states and ballistically induced diffusion
Michel Bauer, Denis Bernard, Antoine Tilloy
Open quantum random walks (OQRWs) deal with quantum random motions on the line for systems with internal and orbital degrees of freedom. The internal system behaves as a quantum ra…