An entanglement bound based on local measurements is introduced for multipartite pure states. Itis the upper bound of the geometric measure and the relative entropy of entanglement. It is the lower bound ofthe minimal-measurement entropy. For pure bipartite states, the bound is equal to the entanglement entropy. Thebound is applied to pure tripartite qubit states and the exact tripartite relative entropy of entanglement is obtainedfor a wide class of states.
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