6 problems

Multiple quantum Chernoff bound conjecture. The asymptotic error exponent is

Composite quantum Chernoff conjecture. The limit $p_e(\vec \varrho,\{\vec\sigma_1,\ldots,\vec\sigma_r\})$ exists, and

Let $A,B_{1},\ldots,B_{r}$ be positive semidefinite operators with strictly positive trace, and let $K_{0},\ldots,K_{r}$ be strictly positive constants. For positive semidefinite o…

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

Factor-removal conjecture. The factor $1/3$ in this bound may be removed, so that the full multiple quantum Chernoff exponent $\xi_{\mathrm{QCB}}(\Sigma)$ is attainable.

The factor-removal conjecture. The factor $1/3$ can be removed: there exists a sequence of quantum detectors for which