English

Multipartite entanglement in qubit systems

Mathematical Physics 2010-01-30 v1 math.MP Quantum Physics

Abstract

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.

Keywords

Cite

@article{arxiv.0811.0702,
  title  = {Multipartite entanglement in qubit systems},
  author = {Paolo Facchi},
  journal= {arXiv preprint arXiv:0811.0702},
  year   = {2010}
}

Comments

42 pages

R2 v1 2026-06-21T11:38:24.222Z