SUFFICIENT CONDITIONS OF ENTANGLEMENT FOR TRIPARTITE AND HIGHER DIMENSIONAL MULTIPARTITE QUBIT DENSITY MATRIXES

Multipartite entanglement in qubit systems

We introduce a potential of multipartite entanglement for a system of n qubits, as the average over all balanced bipartitions of a bipartite entanglement measure, the purity. We study in detail its expression and look for its minimizers, the maximally multipartite entangled states. They have a bipartite entanglement that does not depend on the bipartition and is maximal for all possible biparti...

Entanglement purification for high-dimensional multipartite systems

Yong Wook Cheong, Seung-Woo Lee, Jinhyoung Lee, and Hai-Woong Lee Quantum Photonic Science Research Center, Hanyang University, Seoul 133-791, Korea Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom BK21 Program Division of Advanced Research and Education in Physics, Hanyang University, Seoul 133-791, Korea Department of Physics, Hanyang University, Seoul 13...

Sufficient Conditions for Density in Extended Lipschitz Algebras

Compatibility conditions from multipartite entanglement measures

We consider an arbitrary d1 ⊗ d2 ⊗ · · · ⊗ dN composite quantum system and find necessary conditions for general m-party subsystem states to be the reduced states of a common N-party state. These conditions will lead to various monogamy inequalities for bipartite quantum entanglement and partial disorder in multipartite states. Our results are tightly connected with the measures of multipartite...

Tripartite entanglement versus tripartite nonlocality in three-qubit Greenberger-Horne-Zeilinger-class states.

We analyze the relationship between tripartite entanglement and genuine tripartite nonlocality for three-qubit pure states in the Greenberger-Horne-Zeilinger class. We consider a family of states known as the generalized Greenberger-Horne-Zeilinger states and derive an analytical expression relating the three-tangle, which quantifies tripartite entanglement, to the Svetlichny inequality, which ...