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**Harvard**

Eriksson, K., Cederwall, M., Lindgren, K. och Sjöqvist, E. (2017) *Bifurcation in Quantum Measurement*.

** BibTeX **

@unpublished{

Eriksson2017,

author={Eriksson, Karl-Erik and Cederwall, Martin and Lindgren, Kristian and Sjöqvist, Erik},

title={Bifurcation in Quantum Measurement},

abstract={We present a generic model of (non-destructive) quantum measurement. It consists of a 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.},

year={2017},

note={13},

}

** RefWorks **

RT Unpublished Material

SR Electronic

ID 250939

A1 Eriksson, Karl-Erik

A1 Cederwall, Martin

A1 Lindgren, Kristian

A1 Sjöqvist, Erik

T1 Bifurcation in Quantum Measurement

YR 2017

AB We present a generic model of (non-destructive) quantum measurement. It consists of a 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.

LA eng

LK https://arxiv.org/abs/1708.01552

OL 30