Non-uniform magnetic field as a booster for quantum speed limit: faster quantum information processing

Abstract We probe the quantum speed limit (QSL) of an electron when it is trapped in a non-uniform magnetic field. show that QSL increases to large value, but within regime causality, by choosing proper variation fields. also dependence on spin and find higher for spin-down relativistic regime. This can be useful achieving faster transmission information. Further, we use Bremermann–Bekenstein bound critical field bridges gap between non-relativistic treatments relates stability matter. An analytical framework developed. provide plausible experimental design supplement our theory.