10 problems

Let $k\ge 3$ boundary regions be connected by hyperthreads, where a hyperthread is a thread connecting multiple boundary regions, and let the $k$-thread program be the correspondin…

Consider the entanglement structure of a holographic system with three boundary parties. Mostly bipartite conjecture. The three-party entanglement structure of holographic systems…

Let $P_\mathrm{II*}$ be the selected set of Level-II partial separability properties, and let … be the set of nonempty filters. For each filter…

Nontriviality conjecture. $\underline{\boldsymbol{\xi}}$-separability is nontrivial for every $\underline{\boldsymbol{\xi}}\in P_\mathrm{III*}$; equivalently,

Let a four-party pure state have two-body marginals, meaning reduced states on pairs of the four parties. A marginal configuration is a chosen collection of these two-body marginal…

LOCC hierarchy conjecture. For all $\underline{\boldsymbol{\alpha}},\underline{\boldsymbol{\beta}}\in P_\text{III}$,

Nonemptiness conjecture. The classes indexed by $P_\text{III}$ are all nonempty; equivalently,

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

Relative-entropy discord conjecture. It is conjectured that $N$-partite $\ket{W}$ states contain $\log N$ bits of relative entropy of discord; it is unknown which part of this disc…

For a finite number $N$ of parties, consider the relative and absolute multipartite geometric measures of entanglement, including the measures associated with multipartite partitio…