Decomposition of split-step quantum walks for simulating Majorana modes and edge states
Weiwei Zhang, Sandeep K. Goyal, Christoph Simon, Barry Cyril Sanders · Physical Review A · 2017
We construct a decomposition procedure for converting split-step quantum walks into ordinary quantum walks with alternating coins, and we show that this decomposition enables a feasible linear optical realization of split-step quantum walks by eliminating quantum-control requirements. As salient applications, we show how our scheme will simulate Majorana modes and edge states.