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 corr...

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Main Authors Shravan, Shravan, Morelli, Simon, Gühne, Otfried, Imai, Satoya
Format Journal Article
LanguageEnglish
Published 18.09.2023
Subjects
Physics - Quantum Physics
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Abstract 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 non-linear 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.
AbstractList 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 non-linear 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.
Author Gühne, Otfried
Imai, Satoya
Shravan, Shravan
Morelli, Simon
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  givenname: Satoya
  surname: Imai
  fullname: Imai, Satoya
BackLink https://doi.org/10.48550/arXiv.2309.09549$$DView paper in arXiv
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Snippet We study restrictions of two-body correlations in three-qubit states, using three local-unitarily invariant coordinates based on the Bloch vector lengths of...
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Title Geometry of two-body correlations in three-qubit states
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