Fig. 1: Gate architecture and initialization.
From: Solving the Bernstein-Vazirani problem using Majorana-based topological quantum algorithms
a–c MSH architectures for the simulation of the Bernstein-Vazirani algorithm. Spin orientations are represented by white arrows (white dots representing an out-of-plane orientation), and the zero-energy Nneq (color scale) reveals the existence of MZMs at the end of the topological (FM) rungs. d Unit cell (shown in full color, adjacent unit cells are shown in opaque) to generalize the MSH architecture to a (large) N qubit system. e Nneq for several times during the initialization process along a single rung in the MSH structure. Initialized state \(\left\vert n\right\rangle\) as a function of the chemical potential for the f N = 2 and g N = 3 qubit systems. Parameters are (μ, α, Δ, JS) = (−3.93, 0.45, 1.2, 2.6)te, Γ = 0.03te with an execution time of 4000τe for the initialization process.
