An important challenge for current and near-term quantum devices is finding useful tasks which can be performed on these devices. In this Solving graph problems with single-photons and linear optics ...

We consider two problems from stability theory of matrix polytopes: the existence of common quadratic Lyapunov functions and the existence of a stable member. We show the applicability of the gradient ...

The Matrix Chain Multiplication Problem is a classic optimization problem in dynamic programming where the goal is to find the most efficient way to multiply a given sequence of matrices. Matrix ...

1 Faculty of Computational Mathematics and Cybernetics, Shenzhen MSU-BIT University, Shenzhen, China. 2 School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, China. We ...