8 problems

Let $|\Psi_\mathrm{2e}\rangle$ be a pure state of $N=2$ fermions in $2K$ modes, and let $\mathcal{B}$ be any orthonormal basis of the one-particle Hilbert space. In the natural-orb…

Generalization conjecture. The results obtained for the simplest multipartite cases should have a generalization valid for multi-fermionic systems with an arbitrary number of modes…

Let $\rho$ be the one-particle reduced density matrix of a three-fermion state, and let the fermionic concurrence be the quantity defined from the inequality involving the quartic…

Consider a three-fermion state and the fermionic “concurrence” introduced in the paper; for three-qubit-like states, its square reduces to the sum of the squared mixed-state concur…

Consider a pure state of three fermions with six single-particle states, and let $\rho_A$, $\rho_B$, and $\rho_C$ denote the one-particle reduced density matrices. The quantity…

Let an $N$-particle fermionic state have a reduced $2$-particle density matrix. A pure-state Slater determinant is an antisymmetrized product of $N$ one-particle states, and its re…

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…

Let the fermionic modes be subject to charge superselection, so that the locally available operations are restricted accordingly. Entanglement-swapping conjecture. The entanglement…