6 problems

For a bipartite bosonic Gaussian state of modes $A$ and $B$, let $D(A|B)$ denote quantum discord, and let $D_G(A|B)$ denote the quantity obtained by restricting the minimization de…

The paper studies multipartite quantum discord and global quantum discord, including their behavior under coarsening of subsystems and conditions for complete monogamy. Conjecture.…

Let $H_A$ and $H_B$ be the Hilbert spaces of two subsystems, let $\mathcal{B}(H_{A/B})$ denote the corresponding operator algebras, and let $\Lambda_a$ and $\Lambda_b$ be local cha…

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…

Geometric-discord hierarchy. The inequality

Let $\hat{\rho}_{AB}$ be an arbitrary two-mode Gaussian state, and consider the quantum discord obtained by measurements on one local subsystem, with Gaussian discord defined by re…