We study the quantum synchronization of a single spin driven by an external semiclassical signal for numbers larger than S=1, smallest system to host self-sustained oscillator. The occurrence interference-based blockade is found be qualitatively different integer vs. half-integ...

Matrix inversion is one of the most significant operations on a matrix. For any non-singular matrix A∈Zn×n, inverse this may contain countless numbers non-integer entries. These entries could be endless floating-point numbers. Storing, transmitting, or operating such an cumbersome, especially when size n large. The only square integer that guaranteed to have as its unimodular U∈Zn×n. With prope...

This paper proposes an Integer Programming model to obtain the Least Common Multiply (LCM) for some integer numbers. The proposed method is illustrated by a numerical example.