Multipartite entanglement in qubit systems

Details Multipartite entanglement in qubit systems Multipartite entanglement in qubit systems

2008-11-05

arxiv.org/abs/0811.0702v1

Rend. Lincei Mat. Appl. 20 (2009) 25-67

Physics

Mathematical Physics

42 pages

Scientific paper

10.4171/RLM/532

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 bipartitions. We investigate their structure and consider several examples for small n.

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