170 citations · 553 across the 25 of their papers we have counts for
Showing 2018 · quant-phShow all
3 papers · 2 filters
quant-ph2018★ 1 cited
A new method to building Dirac quantum walks coupled to electromagnetic fields
Gareth Jay, Fabrice Debbasch, J. B. Wang
A quantum walk whose continuous limit coincides with Dirac equation is usually called a Dirac Quantum Walk (DQW). A new systematic method to build DQWs coupled to electromagnetic (…
quant-ph2018★ 16 cited
Action Principles for Quantum Automata and Lorentz Invariance of Discrete Time Quantum Walks
Fabrice Debbasch
A discrete action principle for general quantum automata is proposed. This action principle is particularized to Discrete Time Quantum Walks (DTQWs) and then extended into an energ…
quant-ph2018★ 16 cited
Dirac quantum walks on triangular and honeycomb lattices
Gareth Jay, Fabrice Debbasch, Jingbo B. Wang
In this paper, we present a detailed study on discrete-time Dirac quantum walks (DQWs) on triangular and honeycomb lattices. At the continuous limit, these DQWs coincide with the D…