Tripartite entanglement of electron spins of noninteracting electron gases

  • Authors:

  • Xiao San Ma;Ying Qiao;Guang Xing Zhao;An Min Wang

  • Affiliations:

  • School of Electric Engineering and Information, Anhui University of Technology, Ma'anshan, People's Republic of China 243002;School of Electric Engineering and Information, Anhui University of Technology, Ma'anshan, People's Republic of China 243002;School of Electric Engineering and Information, Anhui University of Technology, Ma'anshan, People's Republic of China 243002;Department of Modern Physics, University of Science and Technology of China, Hefei, People's Republic of China 230026

  • Venue:
  • Quantum Information Processing
  • Year:
  • 2013

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Abstract

By using the tripartite negativity as entanglement measure, we study the tripartite entanglement of electron spins of noninteracting electron gases. Our results imply that the tripartite entanglement depends on the relative distance between the three spins and the temperature. By a comparison between the tripartite negativity and quantum mutual information, for the symmetrical configuration that the relative distances between each pair of the three spins are the same, the quantum mutual information lasts a longer relative distance than the tripartite negativity does. While for the unsymmetrical configuration, the analysis imply that the tripartite negativity just measures the tripartite correlation while the quantum mutual information maybe takes the bipartite correlation into account.