2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/137130The paper estimates the Chernoff rate for the efficiency of quantum hypothesis testing. For both joint and separable measurements, approximate bounds for the rate are given if both states are mixed and exact expressions are derived if at least one of the states is pure. The efficiency of tests with separable measurements is found to be close to the efficiency of tests with joint measurements. The results are illustrated by a test of quantum entanglement.15 pages, no figuresStatistics TheoryMathematical PhysicsQuantum Physics62C10, 62F03 (Primary) 81P15 (Secondary)text