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

dc.creatorAerts, S.
dc.date2002-12-29
dc.date.accessioned2026-07-07T06:05:48Z
dc.date.available2026-07-07T06:05:48Z
dc.descriptionWe 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.
dc.description10 pages, no figures, accepted for publication in Int. J. Theor. Phys
dc.identifierhttps://arxiv.org/abs/quant-ph/0212151
dc.identifierhttp://arxiv.org/abs/quant-ph/0212151
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/90760
dc.subjectQuantum Physics
dc.titleThe Born rule from a consistency requirement on hidden measurements in complex Hilbert space
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