8 problems

Let $\rho_{\mathrm{mc}}=\sum_{i,j}\rho_{ij}\lvert ii\rangle\!\langle jj\rvert$ be a maximally correlated state, and let…

Let $\mathcal{P}_{\mathrm{PPT}}$ be the PPT cone, let $\operatorname{MCL}_k$ denote the rank-constrained $C^*$-convex hull operation, and set … Let $k_c$ be the critical rank for f…

Separable-state de Finetti conjecture. There exists a measure $\mathrm{d}\omega$ on $\mathcal{D}(\mathcal{H}_{AB})$ such that, for every $\Delta>0$, there is…

Strong-converse entanglement cost conjecture. The state $\omega_3$ satisfies

Let $\psi_A$ and $\varphi_A$ be the reduced density matrices of two bipartite pure states, and let $\lambda(\psi_A)$ and $\lambda(\varphi_A)$ denote their spectra. Write…

Let Alice and Charlie share a bound entangled state, and let Bob and Charlie share a bound entangled state. Consider an entanglement-swapping protocol in which Charlie performs a m…

Chitambar's conjecture. There exists an LOCC operation $\Lambda_{\mathrm{LOCC}}$ such that

Let the dimensions refer to the local dimensions of the bipartite pure states considered in self-catalytic conversion, and distinguish deterministic LOCC from stochastic LOCC (SLOC…