54 citations · 119 across the 3 of their papers we have counts for
3 papers
cond-mat.mes-hall2014★ 54 cited
Edge-state enhanced transport in a 2-dimensional quantum walk
Janos K. Asboth, Jonathan M. Edge
Quantum walks on translation invariant regular graphs spread quadratically faster than their classical counterparts. The same coherence that gives them this quantum speedup inhibit…
cond-mat.mes-hall2014★ 35 cited
Localisation, delocalisation, and topological transitions in disordered 2D quantum walks
Jonathan M. Edge, Janos K. Asboth
We investigate time-independent disorder on several two-dimensional discrete-time quantum walks. We find numerically that, contrary to claims in the literature, random onsite phase…
cond-mat.mes-hall2012★ 30 cited
Metallic phase of the quantum Hall effect in four-dimensional space
J. M. Edge, J. Tworzydło, C. W. J. Beenakker
We study the phase diagram of the quantum Hall effect in four-dimensional (4D) space. Unlike in 2D, in 4D there exists a metallic as well as an insulating phase, depending on the d…