50 citations · 67 across the 4 of their papers we have counts for
7 papers
Role of the coin in the spectrum of quantum walks
Lauri Lehman
The most elementary quantum walk is characterized by a 2-dimensional unitary coin flip matrix, which can be parameterized by 4 real variables. The influence of the choice of the co…
Environment-induced mixing processes in quantum walks
Lauri Lehman
The mixing process of discrete-time quantum walks on one-dimensional lattices is revisited in a setting where the walker is coupled to an environment, and the time evolution of the…
Edge theories in Projected Entangled Pair State models
S. Yang, L. Lehman, D. Poilblanc +4
We study the edge physics of gapped quantum systems in the framework of Projected Entangled Pair State (PEPS) models. We show that the effective low-energy model for any region act…
Braiding Interactions in Anyonic Quantum Walks
Lauri J. Lehman, Vaclav Zatloukal, Jiannis K. Pachos +1
The anyonic quantum walk is a dynamical model describing a single anyon propagating along a chain of stationary anyons and interacting via mutual braiding statistics. We review the…
Transport properties of anyons in random topological environments
V. Zatloukal, L. Lehman, S. Singh +2
The quasi one-dimensional transport of Abelian and non-Abelian anyons is studied in the presence of a random topological background. In particular, we consider the quantum walk of…
Quantum Walks of SU(2)_k Anyons on a Ladder
L. Lehman, D. Ellinas, G. K. Brennen
We study the effects of braiding interactions on single anyon dynamics using a quantum walk model on a quasi-1-dimensional ladder filled with stationary anyons. The model includes…