  We propose a similarity between the scenario of fate of false vacuum in
cosmology at early universe and the situation in where the quantum state decays
in superconducting Flux qubit. This is due to the fact that both cases have two
homogeneous stable equilibrium states in scalar field, which in quantum theory,
could penetrate through the barrier in different possibilities and hence
considered unstable decaying in time. In quantum computation, decay rate is
among the most important factors in characteristics of the system like
coherency, reliability, measurement fidelity, etc. In this considered
potential, the decay rate from the penetrating (False vacuum) state to the
stable (absolute minimum) state is achieved to leading order in Planck constant
by the approach of Instanton model. In case of the superconducting flux qubit
having thin barrier potential, the decay rate is calculated and its relations
with actual set of parameters in flux qubit design are introduced.
