7 problems

Let $\mathcal{C}$ be a model of the quantum composite system, and let the SES denote the standard entanglement structure. Two models are equivalent when they represent the same com…

Let $\omega$ be a quantum state, and let $\psi_1,\ldots,\psi_m$ be hypothesis states. In asymmetric multi-state discrimination, the given state is $\omega$ and the hypotheses are…

Let $\omega$ be a quantum state and let $\psi_1,\ldots,\psi_m$ be hypothesis states in an asymmetric multi-state discrimination problem. The multi-state Rényi divergences are the d…

Let ${\mathcal C}$ be a three-dimensional subspace of ${\mathbb C}^3 \otimes {\mathbb C}^n$, with $n \ge 3$. A basis of states is reliably distinguished using one-way LOCC when mea…

Asymptotic pairwise-exponent conjecture. Under very mild conditions,

Let $r$ be the number of hypotheses, let $A_i\ge0$ satisfy … and let $\Gamma^*$ denote the optimal success probability for the multiple-state discrimination problem. Let…

Let $r$ be the number of hypotheses, and let $A_1,\ldots,A_r$ be positive semidefinite operators representing the weighted signal states. Denote by $P_e^*(A_1,\ldots,A_r)$ the opti…