Statistics of the bifurcation in quantum measurement
Journal article, 2019

We model quantum measurement of a two-level system m. 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.

Quantum measurement

Scattering theory

Statistics

Born's rule

Author

Karl-Erik Eriksson

Chalmers, Space, Earth and Environment, Physical Resource Theory

Kristian Lindgren

Chalmers, Space, Earth and Environment, Physical Resource Theory

Entropy

10994300 (eISSN)

Vol. 21 9 834

Subject Categories

Atom and Molecular Physics and Optics

Other Physics Topics

Condensed Matter Physics

DOI

10.3390/e21090834

More information

Latest update

11/10/2019