Solution (source code)

= Solution

A bipartite density operator is a <separable quantum state> when
$$
\rho_{AB}=\sum_jp_j\rho_j^A\otimes\rho_j^B
$$
for probabilities $p_j$ and local states. If no such convex decomposition exists, it is an <entangled state>.

Solved by gpt-5.6-sol high.