Low Rank Approximation of Entangled Bipartite Systems

  • Event Date: 2021-12-13
  • Quantum information and communication
  • Speaker: Prof. Matthew M. Lin(Dept. of Math., NCKU)  /  Host: Prof. Yueh-Nan Chen(NCKU)
    Place: R36169, 1F, Dept. of Physics, Building of Science College, NCKU

Time:12:10, Monday, December 13, 2021
Speaker:Prof. Matthew M. Lin
              Dept. of Math., NCKU
Title: Low Rank Approximation of Entangled Bipartite Systems
Place : R36169, 1F, Dept. of Physics, Building of Science College, NCKU

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.

References
[1] M. T. Chu and M. M. Lin, A Complex-Valued Gradient Flow for the Entangled Bipartite Low Rank Approximation, Computer Physics Communications, accepted 2021.

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