2 problems

Let $A$, $B$, and $C$ be regions of a quantum system, and let $\rho_\beta$ be a quantum Gibbs state. Suppose … The conditional mutual information is … where $S_{\rho_\beta}(X)$ den…

Let $J=(J_{ij})$ be the interaction matrix, and let $m_i$ and $v_i$ denote the associated magnetizations and variances. For each positive integer $p$, sum over pairwise distinct in…