Statistical Separability and the Impossibility of the Superluminal Quantum Communication

Key words: 
• statistical separability /
• quantum communication /
• multi time formulation

Abstract: We analyse the relation and the difference between the quantum correlation of two points in space and the communication between them. The statistical separability of two points in the space is defined and proven. From this statistical separability, we prove that the superluminal quantum communication betwcen different points is impossible. To emphasis the compatibility between the quantum theory and the relativity, we write the von Neumann equation of density operator evolution in the multitime form.