Defining Fundamental Computational Speed Limits for Quantum Oscillators

This work shows the different effects external magnetic and electric fields have on the computational efficiency of the system by examining the complexity growth rate of a charged quantum oscillator under these conditions. Our work reveals a critical magnetic field threshold above which the complexity behavior qualistically changes and the computational dynamics of the system drastically changes. Moreover, by means of an analysis of the minimum orthogonalization time in an anharmonic oscillator, we derive upper bounds on feasible computation rates, so revealing the practical limitations of quantum computational speed. By identifying specific parameter regimes where complexity development undergoes clear transitions, the study reveals how the interaction of electric and magnetic fields can greatly alter the behavior of quantum systems. These results clarify how external perturbations affect the computational capacity of quantum systems and help us to better grasp the limits of quantum computing. With significant consequences for the design and development of upcoming quantum technologies, this study finally helps us to better understand how outside fields restrict the efficiency of quantum computations.