2013/03/31 by Michel Bauer, Denis Bernard, Antoine Tilloy
Computer Science · Mathematics · Physics and Astronomy · #Bistability #Classical mechanics #Degrees of freedom (physics and chemistry) #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum algorithm #Quantum and electron transport phenomena #Quantum mechanics #Quantum walk #Quantum-Dot Cellular Automata #Random walk #Statistical physics #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1103/physreva.88.062340
published as Phys. Rev. A88, 062340 (2013) · 7 pages, 7 figures
openalex publication_date 2013/12/30 · arxiv created 2014/02/12 · arxiv updated 2015/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Open quantum random walks (OQRWs) deal with quantum random motions on a line for systems with internal and orbital degrees of freedom. The internal system behaves as a quantum random gyroscope coding for the direction of the orbital moves. We reveal the existence of a transition, depending on OQRW moduli, in the internal system behaviors from simple oscillations to random flips between two unstable pure states. This induces a transition in the orbital motions from the usual diffusion to ballistically induced diffusion with a large mean free path and large effective diffusion constant at large times. We also show that mixed states of the internal system are converted into random pure states during the process. We touch upon possible experimental realizations.