2021 journal article
NONLINEAR POWER-LIKE AND SVD-LIKE ITERATIVE SCHEMES WITH APPLICATIONS TO ENTANGLED BIPARTITE RANK-1 APPROXIMATION
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 43(5), S448–S474.
author keywords: entanglement; separability; bipartite system; low-rank approximation; nonlinear eigenvalue problem; nonlinear singular value problem
TL;DR:
This work has shown that the distance between a mixed state and the convex set of separable states in a bipartite quantum mechanical system over the complex field is smaller than the total number of states in the system.
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Added: November 8, 2021
Gauging the distance between a mixed state and the convex set of separable states in a bipartite quantum mechanical system over the complex field is an important but challenging task. As a first st...