Strong monogamy inequalities for four qubits

Regula, Bartosz; Osterloh, Andreas; Adesso, Gerardo

Abstract

We investigate possible generalizations of the Coffman-Kundu-Wootters monogamy inequality to four qubits, accounting for multipartite entanglement in addition to the bipartite terms. We show that the most natural extension of the inequality does not hold in general, and we describe the violations of this inequality in detail. We investigate alternative ways to extend the monogamy inequality to express a constraint on entanglement sharing valid for all four-qubit states, and perform an extensive numerical analysis of randomly generated four-qubit states to explore the properties of such extensions.

Citation

Regula, B., Osterloh, A., & Adesso, G. (2016). Strong monogamy inequalities for four qubits. Physical Review A, 93(5), Article 052338. https://doi.org/10.1103/PhysRevA.93.052338

• Journal Article Type: Article
• Acceptance Date: May 10, 2016
• Publication Date: May 31, 2016
• Deposit Date: Aug 31, 2017
• Publicly Available Date: Aug 31, 2017
• Journal: Physical Review A
• Print ISSN: 2469-9926
• Electronic ISSN: 2469-9934
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 93
• Issue: 5
• Article Number: 052338
• DOI: https://doi.org/10.1103/PhysRevA.93.052338
• Public URL: https://nottingham-repository.worktribe.com/output/787829
• Publisher URL: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.93.052338
• Contract Date: Aug 31, 2017