Quantum random walks on congested lattices and the effect of dephasing

Publication Type:
Journal Article
Scientific Reports, 2016, 6
Issue Date:
Full metadata record
We consider quantum random walks on congested lattices and contrast them to classical random walks. Congestion is modelled on lattices that contain static defects which reverse the walkerâ €™ s direction. We implement a dephasing process after each step which allows us to smoothly interpolate between classical and quantum random walks as well as study the effect of dephasing on the quantum walk. Our key results show that a quantum walker escapes a finite boundary dramatically faster than a classical walker and that this advantage remains in the presence of heavily congested lattices.
Please use this identifier to cite or link to this item: