Center for Quantum Frontier of Research and Technology (Seminar)

Low Rank Approximation of Entangled Bipartite Systems

Speaker : Prof. Matthew M. Lin (Dept. of Math., NCKU)
Time : 2021 / 12 / 13 12:10
Low Rank Approximation of Entangled Bipartite Systems
Room 36169, 1F, Department of Physics, Science Building
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.

[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.