**Karl-Erik Eriksson and Kristian Lindgren \***

Complex Systems Group, Department of Space, Earth and Environment, Chalmers University of Technology, SE-412 96 Gothenburg, Sweden

**\*** Correspondence: kristian.lindgren@chalmers.se

Received: 29 June 2019; Accepted: 24 August 2019; Published: 26 August 2019

**Abstract:** We model quantum measurement of a two-level system *μ*. Previous obstacles for understanding the measurement process are removed by basing the analysis of the interaction between *μ* and the measurement device on quantum field theory. This formulation shows how inverse processes take part in the interaction and introduce a non-linearity, necessary for the bifurcation of quantum measurement. A statistical analysis of the ensemble of initial states of the measurement device shows how microscopic details can influence the transition to a final state. We find that initial states that are efficient in leading to a transition to a final state result in either of the expected eigenstates for *μ*, with ensemble averages that are identical to the probabilities of the Born rule. Thus, the proposed scheme serves as a candidate mechanism for the quantum measurement process.

**Keywords:** quantum measurement; scattering theory; statistics; Born's rule
