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Published June 9, 2006 | public
Journal Article Open

General Monogamy Inequality for Bipartite Qubit Entanglement

Abstract

We consider multipartite states of qubits and prove that their bipartite quantum entanglement, as quantified by the concurrence, satisfies a monogamy inequality conjectured by Coffman, Kundu, and Wootters. We relate this monogamy inequality to the concept of frustration of correlations in quantum spin systems.

Additional Information

©2006 The American Physical Society (Received 19 April 2005; published 7 June 2006) We would particularly like to thank Michael Nielsen for introducing T.J.O. to this problem and for providing a tremendous amount of encouragement and suggestions. Also, we are deeply indebted to Andreas Winter for extensive helpful suggestions and comments. We would also like to thank Bill Wootters for many encouraging discussions. Finally, T.J.O. is grateful to the EU for support for this research under the IST project RESQ and also to the UK EPSRC through the grant QIPIRC. F.V. is grateful to the Gordon and Betty Moore Foundation.

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August 22, 2023
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October 16, 2023