  Impossibility of cloning and deleting of unknown states are important
restrictions on processing of information in the quantum world. On the other
hand, a known quantum state can always be cloned or deleted. However if we
restrict the class of allowed operations, there will arise restrictions on the
ability of cloning and deleting machines. We have shown that cloning and
deleting of known states is in general not possible by local operations. This
impossibility hints at quantum correlation in the state. We propose dual
measures of quantum correlation based on the dual restrictions of no local
cloning and no local deleting. The measures are relative entropy distances of
the desired states in a (generally impossible) perfect local cloning or local
deleting process from the best approximate state that is actually obtained by
imperfect local cloning or deleting machines. Just like the dual measures of
entanglement cost and distillable entanglement, the proposed measures are based
on important processes in quantum information. We discuss their properties. For
the case of pure states, estimations of these two measures are also provided.
Interestingly, the entanglement of cloning for a maximally entangled state of
two two-level systems is not unity.
