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[00544] Quantification of Entangled Bipartite Systems

  • Session Time & Room : 2D (Aug.22, 15:30-17:10) @E505
  • Type : Contributed Talk
  • Abstract : Gauging the distance between a mixed state and its nearest separable state is important but challenging in the quantum mechanical system. We, in this talk, propose a dynamical system approach to tackle low-rank approximation of entangled bipartite systems, which has several advantages, including 1) A gradient dynamics in the complex space can be described in a fairly concise way; 2) The global convergence from any starting point to a local solution is guaranteed; 3) The requirement that the combination coefficients of pure states must be a probability distribution can be ensured; 4) The rank can be dynamically adjusted. The theory, algorithms, and some numerical experiments will be presented in this talk.
  • Classification : 65F10, 15A24, 65H10, 15A72, 58D19
  • Author(s) :
    • Matthew M. Lin (National Cheng Kung University)
    • Moody T. Chu (North Carolina State University)