Source code of Numerical Analysis Of OWB Product
Prior to reading, this analysis assumes you are familiar with the following works:
1. Acin, A., Fritz, T., Leverrier, A., and Sainz, A. B. (2015). A combinatorial approach to nonlocality and contextuality. Communications in Mathematical Physics, 334(2):533–628.
2. Sainz, Ana Belén, and Elie Wolfe. "Multipartite composition of contextuality scenarios." Foundations of Physics 48.8 (2018): 925-953.
3. Obeid, Abdul (2021) Modelling contextuality amidst causal influences by means of a computationally tractable combinatorial approach. PhD thesis, Queensland University of Technology.
This iPython Jupyter Notebook serves as an interactive and clarified method through which a numerical analysis can be undertaken on the 'Obeid Wolfe Bruza' (OWB) product , by comparison of its summated hyperedges to the theoretical minimum number of hyperedges of any compositional product capable of fulfilling the 'No-Disturbance' (ND) or 'No-Signalling' (NS) condition.
By application of this analysis, it has been found that any configuration ranging 2-9 parties, on 2-9 measurements, on 2-9 outcomes produces a result that is also the theoretical minimum number of hyperedges for any compositional product. Thus, it is speculated that this extends to any arbitrary parametric. Furthermore, this analysis is supplemented with the logs corresponding to the "Grid Sweep" test for all foredescribed parametrics, to further substantiate the validity of the OWB product (see `grid_sweep.txt`).
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