Maximally genuine multipartite entangled mixed X-states of N-qubits

Paulo E.M.F. Mendonça, Seyed Mohammad Hashemi Rafsanjani, Diógenes Galetti, Marcelo A. Marchiolli

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

For every possible spectrum of 2N-dimensional density operators, we construct an N-qubit X-state of the same spectrum and maximal genuine multipartite (GM-) concurrence, hence characterizing a global unitary transformation that - constrained to output X-states - maximizes the GM-concurrence of an arbitrary input mixed state of N qubits. We also apply semidefinite programming methods to obtain N-qubit X-states with maximal GM-concurrence for a given purity and to provide an alternative proof of optimality of a recently proposed set of density matrices for the purpose, the so-called XMEMS. Furthermore, we introduce a numerical strategy to tailor a quantum operation that converts between any two given density matrices using a relatively small number of Kraus operators. We apply our strategy to design short operator-sum representations for the transformation between any given N-qubit mixed state and a corresponding X-MEMS of the same purity.

Original languageEnglish (US)
Article number215304
JournalJournal of Physics A: Mathematical and Theoretical
Volume48
Issue number21
DOIs
StatePublished - May 29 2015

Keywords

  • Entanglement
  • Genuine Multipartite Concurrence
  • N-qubit X-states

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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