SV0 Adiabatic Pulse Generator (SV0-APG): A Logistic Boundary-Conditioned Voltage Pulse Method for Error-Suppressed Majorana Braiding

This manuscript is the nineteenth/twentieth paper in the SV0 Theory of Everything series. A method and apparatus for error-suppressed braiding of Majorana Zero Modes (MZMs) in topological quantum computing are disclosed. The invention provides an SV0 Adiabatic Pulse Generator (SV0-APG) that generates a logistic (S-curve) voltage pulse. The pulse envelope is tuned such that the normalized MZM position satisfies x(0) ≤ 0.01 and x(T) ≥ 0.99, and the boundary velocity satisfies x-dot(0) ≤ 0.05 x-dot_max and x-dot(T) ≤ 0.05 x-dot_max, where x-dot_max denotes the peak velocity at the midpoint of the braiding time T. By reducing the sweep rate at the Y-junction boundaries where the energy gap is minimal, the pulse suppresses diabatic transitions. Numerical integration of the time-dependent Bogoliubov-de Gennes equations demonstrates approximately a three-order-of-magnitude improvement over linear pulses and approximately a two-order-of-magnitude improvement over truncated Gaussian pulses, under identical braiding time. Dedication to the Public Domain: The author dedicates this work to the public domain under the Creative Commons Attribution 4.0 International (CC BY 4.0) license. It is the author's intention that this work serve as (i) prior art preventing any party from patenting the disclosed methods, and (ii) a gift to humanity. Related Works:Paper I: https://doi.org/10.5281/zenodo.24026844Paper II: https://doi.org/10.5281/zenodo.24032977Paper III: https://doi.org/10.5281/zenodo.24033838Paper IV: https://doi.org/10.5281/zenodo.24034927Paper V: https://doi.org/10.5281/zenodo.24035268Paper VI: https://doi.org/10.5281/zenodo.24035911Paper VII: https://doi.org/10.5281/zenodo.24038624Paper VIII: https://doi.org/10.5281/zenodo.24039486Paper IX: https://doi.org/10.5281/zenodo.24040648Paper X: https://doi.org/10.5281/zenodo.24046082Paper XI: https://doi.org/10.5281/zenodo.24046162Paper XII: https://doi.org/10.5281/zenodo.24046233Paper XIII: https://doi.org/10.5281/zenodo.24046352Paper XIV: https://doi.org/10.5281/zenodo.24046520Paper XV: https://doi.org/10.5281/zenodo.24046626Paper XVI: https://doi.org/10.5281/zenodo.24047178Paper XVII: https://doi.org/10.5281/zenodo.24047385Paper XVIII: https://doi.org/10.5281/zenodo.24047800Paper XIX: https://doi.org/10.5281/zenodo.24049911