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Physics Letters A

The maximal entangled three-particle state is unique

J. Schlienz, G. Mahler

Published Dec 1, 1996• 45 citations
Publisher
DOI
10.1016/s0375-9601(96)00803-1

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We demonstrate that any pure bipartite state of two qubits may be decomposed into a superposition of a maximally entangled state and an orthogonal factorizable one. Although there are many such decompositions, the weights of the two superposed states are, remarkably, unique. We propose a measure of entanglement based on this decomposition. We also demonstrate that this measure is connected to three measures of entanglement previously set forth: maximal violation of Bell's inequality, concurrence, and two-particle visibility.