Maximizing genuine multipartite entanglement of N mixed qubits

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6 Scopus citations


Beyond the simplest case of bipartite qubits, the composite Hilbert space of multipartite systems is largely unexplored. In order to explore such systems, it is important to derive analytic expressions for parameters which characterize the system's state space. Two such parameters are the degree of genuine multipartite entanglement and the degree of mixedness of the system's state. We explore these two parameters for an N-qubit system whose density matrix has an X form. We derive the class of states that has the maximum amount of genuine multipartite entanglement for a given amount of mixedness. We compare our results with the existing results for the N = 2 case. The critical amount of mixedness above which no N-qubit X-state possesses genuine multipartite entanglement is derived. It is found that as N increases, states with higher mixedness can still be entangled.

Original languageEnglish (US)
Article number1350043
JournalInternational Journal of Quantum Information
Issue number4
StatePublished - Jun 2013
Externally publishedYes


  • Multi-partite entanglement
  • X-states
  • qubit

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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