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Statistics of the Bifurcation in Quantum Measurement

Complex Systems Group, Department of Space, Earth and Environment, Chalmers University of Technology, SE-412 96 Gothenburg, Sweden
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Entropy 2019, 21(9), 834; https://doi.org/10.3390/e21090834
Received: 29 June 2019 / Revised: 13 August 2019 / Accepted: 24 August 2019 / Published: 26 August 2019
(This article belongs to the Special Issue Entropy and Non-Equilibrium Statistical Mechanics)
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. View Full-Text
Keywords: quantum measurement; scattering theory; statistics; Born’s rule quantum measurement; scattering theory; statistics; Born’s rule
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MDPI and ACS Style

Eriksson, K.-E.; Lindgren, K. Statistics of the Bifurcation in Quantum Measurement. Entropy 2019, 21, 834. https://doi.org/10.3390/e21090834

AMA Style

Eriksson K-E, Lindgren K. Statistics of the Bifurcation in Quantum Measurement. Entropy. 2019; 21(9):834. https://doi.org/10.3390/e21090834

Chicago/Turabian Style

Eriksson, Karl-Erik; Lindgren, Kristian. 2019. "Statistics of the Bifurcation in Quantum Measurement" Entropy 21, no. 9: 834. https://doi.org/10.3390/e21090834

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