13 problems

Let a reformulation be an alternative formulation of quantum theory, including formulations that introduce hidden variables or other unobserved properties, and let quantum nonlocal…

Let a local algorithm be an algorithmic representation of a theory that is local in the sense that all of its irreducible elements are local. Let QM denote quantum mechanics and it…

Bell-pair superadditivity conjecture. There is an experiment on pairs of Bell singlets, of the $2\times4\times4$ type, more than twice as strong as CHSH, and involving joint measur…

Two-copy superadditivity conjecture. The best experiment based on two copies of the Bell singlet state is more than twice as good as the best experiment based on single states.

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.

Interpolant-state conjecture. All three-qubit nonlocality paradoxes necessarily require an interpolant state.

Quantum mechanics exhibits intrinsic non-local randomness in particle motion, distinct from the local influence of measurement devices. A heat bath is an environment supplying ther…

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

Smallest-measurement-number conjecture. The smallest number of measurements $n$ such that

Bancal's conjecture. All fully inseparable pure tripartite states in arbitrary dimensions are three-way nonlocal.