Anisotropic invariance and the distribution of quantum correlations
arXiv:1610.09302 · doi:10.1103/PhysRevLett.118.010401
Abstract
We report the discovery of two new invariants for three-qubit states which, similarly to the 3-tangle, are invariant under local unitary transformations and permutations of the parties. These quantities have a direct interpretation in terms of the anisotropy of pairwise spin correlations. Applications include a universal ordering of pairwise quantum correlation measures for pure three-qubit states; tradeoff relations for anisotropy, 3-tangle and Bell nonlocality; strong monogamy relations for Bell inequalities, Einstein-Podolsky-Rosen steering inequalities, geometric discord and fidelity of remote state preparation (including results for arbitrary three-party states); and a statistical and reference-frame-independent form of quantum secret sharing.
5+5 pages, close to published version and minor clarifications to Supplementary Material in page S4
References in corpus (4)
Cited by in corpus (13)
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- Trade-off relation among genuine three-qubit nonlocalities in four-qubit systems
- Distribution of spin correlation strengths in multipartite systems
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- Probe of Generic Quantum Contextuality and Nonlocal Resources for Qubits