Analysis of coupled quantum parametric harmonic oscillators by classical nonlinear modeling

Quantum-dot and ion-trap technologies are applied to implementation of quantum computers. Quantum mechanical systems constructed by the considered as networks charged particles. In this paper, we present first that described coupled parametric harmonic oscillators (CQPHOs). Second, CQPHOs modeled a system nonlinear stochastic ordinary differential equations (NSODEs). The NSODEs consist deterministic drift term probabilistic fluctuation term. is derived substituting probability density function current for classical counterparts in Fokker-Planck equation. Third, integrate numerically from which removed. As result integral, find behaves chaotically when amplitude frequency time-varying parameter specific ranges. This implies computers may behave irregularly because not only intrinsic nature mechanics but also deterministically chaotic nature.