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arXiv · 0811.0539

Embedding Quantum Mechanics Into a Broader Noncontextual Theory: A Conciliatory Result

Claudio Garola·Sandro Sozzo
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Abstract

The extended semantic realism (ESR) model embodies the mathematical formalism of standard (Hilbert space) quantum mechanics in a noncontextual framework, reinterpreting quantum probabilities as conditional instead of absolute. We provide here an improved version of this model and show that it predicts that, whenever idealized measurements are performed, a modified Bell-Clauser-Horne-Shimony-Holt (BCHSH) inequality holds if one takes into account all individual systems that are prepared, standard quantum predictions hold if one considers only the individual systems that are detected, and a standard BCHSH inequality holds at a microscopic (purely theoretical) level. These results admit an intuitive explanation in terms of an unconventional kind of unfair sampling and constitute a first example of the unified perspective that can be attained by adopting the ESR model.

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Claudio Garola, Sandro Sozzo. 2009-08-29. Embedding Quantum Mechanics Into a Broader Noncontextual Theory: A Conciliatory Result. https://doi.org/10.1007/s10773-009-0222-8

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