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

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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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Authors and Affiliations

  1. Dipartimento di Fisica dell’Università del Salento and Sezione INFN, 73100, Lecce, Italy

    Claudio Garola & Sandro Sozzo

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  1. Claudio Garola
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  2. Sandro Sozzo
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Correspondence to Sandro Sozzo.

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Garola, C., Sozzo, S. Embedding Quantum Mechanics Into a Broader Noncontextual Theory: A Conciliatory Result. Int J Theor Phys 49, 3101–3117 (2010). https://doi.org/10.1007/s10773-009-0222-8

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  • DOI: https://doi.org/10.1007/s10773-009-0222-8

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