title: Strong monogamy conjecture for multiqubit entanglement: the four-qubit case.
abstract: We investigate the distribution of bipartite and multipartite entanglement in multiqubit states. In particular, we define a set of monogamy inequalities sharpening the conventional Coffman-Kundu-Wootters constraints, and we provide analytical proofs of their validity for relevant classes of states. We present extensive numerical evidence validating the conjectured strong monogamy inequalities for arbitrary pure states of four qubits.
authors.affiliation: School of Mathematical Sciences, The University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom.
authors.forename: Bartosz
authors.initials: B
authors.lastname: Regula
authors.affiliation: School of Mathematical Sciences, The University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom and Dipartimento di Matematica, Universitá di Bari, I-70125 Bari, Italy.
authors.forename: Sara
authors.initials: S
authors.lastname: Di Martino
authors.affiliation: School of Mathematical Sciences, The University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom and Department of Mathematics and Research Institute for Basic Sciences, Kyung Hee University, Seoul 130-701, Korea.
authors.forename: Soojoon
authors.initials: S
authors.lastname: Lee
authors.affiliation: School of Mathematical Sciences, The University of Nottingham, University Park, Nottingham NG7 2RD, United Kingdom.
authors.forename: Gerardo
authors.initials: G
authors.lastname: Adesso