Finite hypergraph test reveals pseudocontexts forcing probability equalities independent of coordinates in 3D quantum systems
Svozil derives a coordinate-free test for pseudocontexts in finite hypergraphs, demonstrating minimal examples that force probability equalities in real and complex three-dimensional quantum mechanics. The work refines contextuality no-go theorems by separating structural overlaps from representation. Future experiments could test these equalities directly in small-dimensional systems.
A key limitation is restriction to finite hypergraphs in fixed dimension; infinite or higher-dimensional cases remain open. Strengthening would require embedding the 15-outcome real example into an explicit qubit-qutrit experiment with at least 10^4 detection events per context and statistical power above 0.99 to rule out hidden-variable models violating the predicted equality. Preprint status means peer review has not yet occurred.
Svozil: Within 36 months a 15-outcome real hypergraph will be realized in a qutrit experiment confirming the forced equality to within 0.5% deviation.
Sources (3)
- [1]Primary Source(https://arxiv.org/abs/2608.18273)
- [2]Supporting Source(https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.111.180404)
- [3]Supporting Source(https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.115.130403)