The Born rule from a consistency requirement on hidden measurements in complex Hilbert space

Details The Born rule from a consistency requirement on hidden measurements in complex Hilbert space The Born rule from a consistency requirement on hidden measurements in complex Hilbert space

2002-12-29

arxiv.org/abs/quant-ph/0212151v1

Physics

Quantum Physics

10 pages, no figures, accepted for publication in Int. J. Theor. Phys

Scientific paper

We formalize the hidden measurement approach within the very general notion of an interactive probability model. We narrow down the model by assuming the state space of a physical entity is a complex Hilbert space and introduce the principle of consistent interaction which effectively partitions the space of apparatus states. The normalized measure of the set of apparatus states that interact with a pure state giving rise to a fixed outcome is shown to be in accordance with the probability obtained using the Born rule.

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