5 problems

Strange-state discrimination conjecture. With the assistance of sufficiently many copies of the Strange state, this ensemble can be perfectly distinguished using a PWF POVM.

Necessary and sufficient conditions for full solvability of UQSD for URM. The UQSD optimization problem induced by the partition $\bigcup_{i=1}^{N}\Omega_i$ is fully solvable as…

Nussbaum–Szkola's multiple quantum Chernoff conjecture. The optimal asymptotic error exponent for discriminating $\rho_1^{\otimes n},\ldots,\rho_r^{\otimes n}$ is

Let $0<p<1$, let $\rho$ and $\sigma_1,\ldots,\sigma_r$ be quantum states, and let $q_1,\ldots,q_r$ be a probability distribution. For $n$ copies, compare the i.i.d. hypothesis…

Let $n$ be a positive integer and, for $x$ with $0\le x\le n$, define the regularised incomplete beta function expression $I_z(n-x,x)$ by analytic continuation of the beta-function…