4.1 Article

The outcomes of measurements in the de Broglie-Bohm theory

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COMPTES RENDUS PHYSIQUE
卷 22, 期 1, 页码 99-116

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ACAD SCIENCES
DOI: 10.5802/crphys.81

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quantum measurement; de Broglie-Bohm theory

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In the de Broglie-Bohm theory, the outcome of a measurement is often determined by the Bohmian positions of the measurement apparatus rather than the measured system itself. In many cases, the measurement result is independent of the initial value of the Bohmian position associated with the measured system, and is solely determined by the Bohmian positions of the measurement apparatus. This reveals that quantum contextuality arises as a consequence of the dBB dynamics for entangled systems.
Within the de Broglie-Bohm (dBB) theory, the measurement process and the determination of its outcome are usually discussed in terms of the effect of the Bohmian positions of the measured system S. This article shows that the Bohmian positions associated with the measurement apparatus M can actually play a crucial role in the determination of the result of measurement. Indeed, in many cases, the result is practically independent of the initial value of a Bohmian position associated with S, and determined only by those of M. The measurement then does not reveal the value of any pre-existing variable attached to S, but just the initial state of the measurement apparatus. Quantum contextuality then appears with particular clarity as a consequence of the dBB dynamics for entangled systems.

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