The benchmark tests show that the noise-free realization of QA can significantly outperform state-of-the-art classical algorithms. Quantum annealing (QA) is a cutting-edge algorithm that leverages the ...

We study the Dirichlet problem for discrete harmonic functions in unbounded product domains on multidimensional lattices. First we prove some versions of the Phragmén-Lindelöf theorem and use Fourier ...

This rapidly evolving field extends classical discrete calculus by introducing non-integer, or fractional, orders of difference operators. Such an approach is particularly well suited to modelling ...

to speed up the construction of the discrete-time model by turning to Newton-type methods for solving the Schrödinger system (in the next section, we show numerically that a mixed Newton–Sinkhorn ...

We can compare discrete and continuous data by looking at how water comes out of a tap. A dripping tap shows discrete data, because each individual drop can be counted. The data collected will simply ...

Split a mile in half, you get half a mile. Split the half mile, you get a quarter, and on and on, until you’ve carved out a length far smaller than the diameter of an atom. Can this slicing continue ...