Separability conditions from the Landau-Pollak uncertainty relation

Abstract

We obtain a collection of necessary (sufficient) conditions for a bipartite system of qubits to be separable (entangled), which are based on the Landau-Pollak formulation of the uncertainty principle. These conditions are tested and compared with previously stated criteria by applying them to states whose separability limits are already known. Our results are also extended to multipartite and higher-dimensional systems.