Strong Monogamy of Bipartite and Genuine Multipartite Entanglement: The Gaussian Case

Details Strong Monogamy of Bipartite and Genuine Multipartite Entanglement: The Gaussian Case Strong Monogamy of Bipartite and Genuine Multipartite Entanglement: The Gaussian Case

2007-03-30

arxiv.org/abs/quant-ph/0703277v4

Phys. Rev. Lett. 99, 150501 (2007)

Physics

Quantum Physics

4 pages, 2 figures. Final version, published in PRL

Scientific paper

10.1103/PhysRevLett.99.150501

We demonstrate the existence of general constraints on distributed quantum correlations, which impose a trade-off on bipartite and multipartite entanglement at once. For all N-mode Gaussian states under permutation invariance, we establish exactly a monogamy inequality, stronger than the traditional one, that by recursion defines a proper measure of genuine N-partite entanglement. Strong monogamy holds as well for subsystems of arbitrary size, and the emerging multipartite entanglement measure is found to be scale invariant. We unveil its operational connection with the optimal fidelity of continuous variable teleportation networks.

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