bibkey: hance2026fourquestions authors: Jonte R. Hance year: 2026 title: “Why three? A two-level system with four mutually unbiased questions” doi: null url: https://arxiv.org/abs/2609.10078v1 claim: “Whether the further preparation equivalences lower the twenty-four-cell noise threshold is open.” strata_touched:
- D5/S3/QuantumContext/HanceTwentyFourCellThreshold license: citation-only triage: anchor
Verified locator
Source: https://arxiv.org/abs/2609.10078v1
The section “Polytopes, quasiprobabilities and contextuality”, after Eq. (sbound), source main.tex, lines 146–182. The binary effect is defined at line 104. The arbitrary stochastic ontological-model conventions occur in the appendix, source lines 353–367.
The twenty-four-cell preparation threshold question
The source asks:
The 24-cell subtheory is therefore preparation contextual at least for ; whether its further equivalences lower the threshold, and whether it is measurement contextual, we leave open, and both are linear programs.
The preparations are all eight signed coordinate axes together with all sixteen half-sign vectors in four real coordinates. The measurements are the twelve unoriented frame questions with both outcomes. Depolarization multiplies each preparation vector by lambda while leaving the questions sharp. The first open clause concerns preparation noncontextuality for the full convex scenario. The separate measurement-contextuality clause is not settled here.