Qubit thermalization by random pulses: Asymptotic state factorization

Abstract

Here we consider an analytically tractable model of a two level quantum system subject to random shocks and prove that it decays asymptotically to a trivial state, that is, to a state in which the two levels have equal probability of occupation. In a two qubit system, if the shocks affect each qubit independently, the equilibrium density matrix becomes a simple product of the one qubit equilibrium density matrices regardless of the nature of the initial state. This has potential applications to entangles qubits in quantum computers.

arXiv commentI discovered an important mistake in the old version