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

S. Aerts
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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.

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S. Aerts. 2002-12-29. The Born rule from a consistency requirement on hidden measurements in complex Hilbert space. https://arxiv.org/abs/quant-ph/0212151

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