Dissipative Kerr Parametric Oscillators

Kerr parametric oscillators (KPOs) show promise in developing fault-tolerant quantum computers. KPOs, like all quantum systems, are prone to decoherence as a result of unavoidable interactions with the environment. Lindblad master equations are used to model such open quantum systems. With this method we study the evolution of open KPOs, analyzing the survival probability from time zero to the point of saturation. We investigate how the strength of the system's interaction with the environment affects the survival probability's decay rate and how the energies of the initial states affect the dynamics' saturation. We find that stronger interactions lead to faster decay rates and that states with higher energies reach lower saturation values.