Entanglement via Barut–Girardello coherent state for suq(1,1) quantum algebra: bipartite composite system

Abstract Using noncocommutative coproduct properties of the quantum algebras, we introduce and obtain, in a bipartite composite system, the Barut–Girardello coherent state for the q -deformed su q (1,1) algebra. The quantum coproduct structure ensures this normalizable coherent state to be entangled. The entanglement disappears in the classical q →1 limit, giving rise to a factorizable state.