19 problems

Let $\delta$ and $\epsilon$ be functions producing arbitrary real-valued outputs, and write … Variant Task 2 accepts a pair when $|S-T|<c$ for a fixed constant $c$, rather than con…

Optimal 2×2×3 strength conjecture. The strongest possible $2\times2\times3$ nonlocality proof has statistical strength $0.077$, and it uses the bipartite state

CHSH optimality conjecture. The best experiment with the Bell singlet state is the CHSH experiment.

GHZ optimality conjecture. Among all $3\times2\times2$ proofs, and allowing correlated setting distributions, GHZ is best.

CHSH optimality conjecture. Among all $2\times2\times2$ proofs, and allowing correlated setting distributions, CHSH is best.

Collins–Gisin conjecture. For every $m\geq 1$, the $\mathrm{I}_{mm22}$ inequality is a facet of $\mathrm{COR}^\square(\mathrm{K}_{m,m})$; equivalently, it is a tight Bell inequalit…

At the Planck scale, physical systems are assumed to have ontological states that evolve under dissipative deterministic dynamics, with equivalence classes of states potentially co…

Haar-wavelet solvability conjecture. For every $\eta\in(\sqrt2-1,1)$, a resolution $\{N_0,N_1,K\}$ can be found such that this finite system admits a solution of the prescribed Haa…

Let $A(N,K)$ be the $(N+1)K\times(N+1)K$ matrix whose entries are the integrals of products of Haar wavelets defined in the paper, and let $\lambda_{\max}(A(N,K))$ denote its maxim…

Let $\mathcal{L}$ be the local polytope for the multipartite Bell scenario, and let $\Gamma(\mathcal{L})$ denote its symmetrised projection. For the examples considered, this polyt…

Nelson's stochastic formulation derives the non-relativistic Schrödinger equation from stochastic dynamics, with observables represented by the resulting state function. Bell inequ…

Let $N$ be the number of dichotomic measurements per party in the chained Bell scenario, and let $Ci_{4N}(1,2N)$ be the graph of exclusivity for the events in the chained Bell ineq…

Zohren–Gill conjecture. For these states in the limit $d\to\infty$, the tight quantum analog satisfies

The CGLMP inequality is considered for quantum systems of dimension $2$. Qubit CGLMP-bound conjecture. The qubit bound $0.2071$ obtained using projective measurements is optimal: a…

Let $\rho$ be a bipartite quantum state with positive partial transpose (PPT), meaning that its partial transpose is positive semidefinite. A Bell inequality is a constraint on cor…

Simplified PBR optimality conjecture. For the tests studied in the CGLMP configuration,

Let a doubly' quantized theory be a theory of the type considered in the source, with CHSH correlations and CHSH bound defined in the usual way. Doubly quantized theory conjecture.…

A Bell experiment uses shared entanglement between two parties, who choose measurements and obtain outcomes; the I3322 inequality is a particular Bell inequality for this scenario,…

For a fixed finite number of observables per party and a fixed finite number of outcomes per observable, let $\mathcal{Q}_{\otimes}$ and $\mathcal{Q}_{c}$ denote the sets of quantu…