6 problems

Let a contextuality model be evaluated in the hierarchy of $n$-contextuality, where increasing $n$ permits inclusion of larger simplices in the underlying simplicial complex, and l…

State-extension conjecture. If state $\nu$ of $A$ satisfies PEP, then there is a state $\hat{\nu}$ of $A[\perp]$ such that

LEP--PEP converse conjecture. If PEP holds, then LEP holds:

The invariant partial ideal conjecture. A partial ideal of $\mathcal{A}$ arises from a total ideal if and only if it is an invariant partial ideal. Consequently, the map…

Let $H_1,\ldots,H_n$ be contextuality scenarios, let $\overline{H_1\otimes\ldots\otimes H_n}$ denote the completion of their $n$-fold product scenario, let $\bar H_i$ denote the co…

Let $H$ be a contextuality scenario and let $C^*(H)$ denote its universal unital $C^*$-algebra. The decision problem $\mathtt{ALLOWS\_QUANTUM}$ asks whether a given contextuality s…