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We discuss the importance of entanglement creation for successful eavesdropping in quantum cryptography. We give a definition of asymmetric universal entangling machine which entangles a system in an unknown state to a specially prepared ancilla. We describe explicitly such a machine for any quantum system having finite number of levels and prove its optimality. We show that the asymmetric universal entangling machine is a device, required for optimal individual eavesdropping on the 6-state protocol of quantum cryptography.