Genuine tripartite entanglement semi-monotone for (2 × 2 × n)-dimentional systems

  • Authors:

  • Chang-Shui Yu;He-Shan Song;Ya-Hong Wang

  • Affiliations:

  • Department of Physics, Dalian University of Technology, Dalian, P.R. China;Department of Physics, Dalian University of Technology, Dalian, P.R. China;Department of Physics, Dalian University of Technology, Dalian, P.R. China and School of Information Science and Engineering, Dalian Inst of Light Industry, Dalian, P.R. China

  • Venue:
  • Quantum Information & Computation
  • Year:
  • 2007

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Abstract

In this paper, we present a new approach to study genuine tripartite entanglementexisting in (2 × 2 × n)-dimensional quantum pure states. By utilizing the approach,we introduce a particular quantity to measure genuine tripartite entanglement. Thequantity is shown to be an entanglement monotone in 2-dimensional subsystems (semimonotone)and reaches zero for separable states and (2 × 2 × 2)-dimensional W states,hence is a good criterion to characterize genuine tripartite entanglement. Furthermore,the formulation for pure states can be conveniently extended to the case of mixed statesby utilizing the kronecker product approximation technique. As applications, we givethe analytic approximation for weakly mixed states, and study the genuine tripartiteentanglement of two given weakly mixed states.