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In this work we derive Born's rule from the pilot-wave theory of de Broglieand Bohm. Based on a toy model involving a particle coupled to a environementmade of "qubits" (i.e., Bohmian pointers) we show that entanglement togetherwith deterministic chaos lead to a fast relaxation from any statistiticaldistribution $\rho(x)$ (of finding a particle at point $x$) to the Bornprobability law $|\Psi(x)|^2$. Our model is discussed in the context ofBoltzmann's kinetic theory and we demonstrate a kind of H theorem for therelaxation to the quantum equilibrium regime.

Justifying Born's rule $P_\alpha=|\Psi_\alpha|^2$ using deterministic chaos, decoherence, and the de Broglie-Bohm quantum theory