4 problems

Let $\mathfrak{S}(\mathcal{H}_{AB})$ be the state space of the bipartite system $AB$, and let $E_{sq}$ denote the squashed entanglement, defined as one half the infimum of the quan…

Gaussian extension conjecture. The squashed entanglement of every quantum Gaussian state is achieved by a Gaussian extension.

Exact squashed entanglement conjecture. The squashed entanglement of $\rho_{AB}^{\kappa,E}$ equals the upper bound

Let $\rho_{12}$ be a bipartite fermionic state. Its squashed entanglement is … where the infimum ranges over extensions with ${\rm Tr}_3\rho_{123}=\rho_{12}$. A Slater determinant…