process (using physical means independent of those used to select the state) guaranteed to create a state in a Hilbert space whose partial traces are and . Such a process was termed broadcasting in that paper. No-Local-Broadcasting Theorem The second theorem states that local broadcasting is only possible when the state is a classical probability distribution. This means that a state can only be broadcast locally if it does not have any quantum correlations. Luo reconciled this theorem with the generalized no-broadcast theorem by making the conjecture that when a state is a classical-quantum state, correlations (rather than the state itself) in a bipartite state can be locally broadcast. By mathematically proving that his conjecture and the two theorems all relate to and imply one another, Luo proved that all three statements are logically equivalent. See also No-communication theorem No-hiding theorem Quantum teleportation Quantum entanglement Quantum information Uncertainty principle References Quantum information science Theorems in quantum mechanics No-go theorems