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Bifurcation in Quantum Measurement
Division of Physical Resource Theory, Department of Space, Earth and Environment, Chalmers University of Technology, Göteborg, Sweden.
Division of Theoretical Physics, Department of Physics, Chalmers University of Technology, Göteborg, Sweden.
Division of Physical Resource Theory, Department of Space, Earth and Environment, Chalmers University of Technology, Göteborg, Sweden .
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Materials Theory. Uppsala universitet. (Quantum information theory)
2017 (English)In: Article in journal (Other academic) Submitted
Abstract [en]

We present a generic model of (non-destructive) quantum measurement. It consists of two-level system μ interacting with a larger system A, in such a way that if μ is initially in one of the chosen basis states, it does not change but makes A change into a corresponding state (entanglement). The μA-interaction is described as a scattering process. Internal (unknown) variables of A may influence the transition amplitudes. It is assumed that the statistics of these variables is such that, in the mean, the μA-interaction is neutral with respect to the chosen basis states. It is then shown that, for a given initial state of μ, in the limit of a large system A, the statistics of the ensemble of available initial states leads to a bifurcation: those initial states of A that are efficient in leading to a final state, are divided into two separated subsets. For each of these subsets, μ ends up in one of the basis states. The probabilities in this branching confirm the Born rule.

Place, publisher, year, edition, pages
2017.
Keywords [en]
Quantum measurement
National Category
Other Physics Topics
Research subject
Physics with spec. in Atomic, Molecular and Condensed Matter Physics; Physics
Identifiers
URN: urn:nbn:se:uu:diva-327294OAI: oai:DiVA.org:uu-327294DiVA, id: diva2:1130220
Funder
Swedish Research Council, D0413201Available from: 2017-08-08 Created: 2017-08-08 Last updated: 2017-08-08

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arxiv:1708.01552

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