Geometry of two-body correlations in three-qubit states
We study restrictions of two-body correlations in three-qubit states, using three local-unitarily invariant coordinates based on the Bloch vector lengths of the marginal states. First, we find tight nonlinear bounds satisfied by all pure states and extend this result by including the three-body correlations. Second, we consider mixed states and conjecture a tight nonlinear bound for all three-qubit states. Finally, within the created framework, we give criteria to detect different types of multipartite entanglement as well as characterize the rank of the quantum state.
Authors
- Otfried Gühne (ORCID: https://orcid.org/0000-0002-6033-0867)
- Satoya Imai (ORCID: https://orcid.org/0000-0003-0083-7743)
- Simon Morelli (ORCID: https://orcid.org/0000-0002-7588-2701)
- Shravan Shravan
Institutions
- TU Wien (AT)
- University of Siegen (DE)
- Folkwang University of the Arts (DE)
- Basque Center for Applied Mathematics (ES)
Publication Details
- Journal
- Physical review. A/Physical review, A
- Published
- 2024-12-16
- DOI
- https://doi.org/10.1103/physreva.110.062419
- Citations
- 1
- Primary Topic
- Quantum Information and Cryptography
- Type
- article
- Field-Weighted Citation Impact
- 0.35
Funders
- Deutsche Forschungsgemeinschaft
- Bundesministerium für Bildung und Forschung
- Eusko Jaurlaritza
- Ministerio de Ciencia e Innovación
- European Research Council