Strong monogamy inequalities for four qubits
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...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Published: |
American Physical Society
2016
|
| Online Access: | https://eprints.nottingham.ac.uk/45297/ |
| _version_ | 1848797107639549952 |
|---|---|
| author | Regula, Bartosz Osterloh, Andreas Adesso, Gerardo |
| author_facet | Regula, Bartosz Osterloh, Andreas Adesso, Gerardo |
| author_sort | Regula, Bartosz |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:58:37Z |
| format | Article |
| id | nottingham-45297 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:58:37Z |
| publishDate | 2016 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-452972020-05-04T17:49:19Z https://eprints.nottingham.ac.uk/45297/ Strong monogamy inequalities for four qubits Regula, Bartosz Osterloh, Andreas Adesso, Gerardo 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. American Physical Society 2016-05-31 Article PeerReviewed Regula, Bartosz, Osterloh, Andreas and Adesso, Gerardo (2016) Strong monogamy inequalities for four qubits. Physical Review A, 93 (5). 052338/1-052338/6. ISSN 2469-9926 https://journals.aps.org/pra/abstract/10.1103/PhysRevA.93.052338 doi:10.1103/PhysRevA.93.052338 doi:10.1103/PhysRevA.93.052338 |
| spellingShingle | Regula, Bartosz Osterloh, Andreas Adesso, Gerardo Strong monogamy inequalities for four qubits |
| title | Strong monogamy inequalities for four qubits |
| title_full | Strong monogamy inequalities for four qubits |
| title_fullStr | Strong monogamy inequalities for four qubits |
| title_full_unstemmed | Strong monogamy inequalities for four qubits |
| title_short | Strong monogamy inequalities for four qubits |
| title_sort | strong monogamy inequalities for four qubits |
| url | https://eprints.nottingham.ac.uk/45297/ https://eprints.nottingham.ac.uk/45297/ https://eprints.nottingham.ac.uk/45297/ |