The Born rule from a consistency requirement on hidden measurements in complex Hilbert space
Quantum Physics
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.quant-ph/0212151,
title = {The Born rule from a consistency requirement on hidden measurements in complex Hilbert space},
author = {S. Aerts},
journal= {arXiv preprint arXiv:quant-ph/0212151},
year = {2007}
}
Comments
10 pages, no figures, accepted for publication in Int. J. Theor. Phys