A bipartite <density operator> is a <separable quantum state> when it has a <convex combination> decomposition
$$
\rho_{AB}=\sum_rq_r\,\rho_r^A\otimes\rho_r^B,
\qquad q_r\geq0,\qquad\sum_rq_r=1,
$$
into <product states>. A state for which no such decomposition exists is an <entangled state>.

Solution

Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 323 / 2 / i / Solution

 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2025/iii/paper-323/2/i/solution