This is a short comment on the Moyal formula for deformation quantization. It is shown that the Moyal algebra of functions on the plane is canonically isomorphic to an algebra of matrices of infinite size.

Quantum Neural Networks (QNN) are considered a candidate for achieving quantum advantage in the Noisy Intermediate Scale computer (NISQ) era. Several QNN architectures have been proposed and successfully tested on benchmark datasets machine learning. However, quantitative studies of QNN-generated entanglement investigated only up to few qubits. Tensor network methods allow emulate circuits with...

In this paper, we investigate the existence of a positive solution of fully fuzzy linear equation systems. This paper mainly to discuss a new decomposition of a nonsingular fuzzy matrix, the symmetric times triangular (ST) decomposition. By this decomposition, every nonsingular fuzzy matrix can be represented as a product of a fuzzy symmetric matrix S and a fuzzy triangular matrix T.

in this paper, we investigate the existence of a positive solution of fully fuzzy linear equation systems. this paper mainly to discuss a new decomposition of a nonsingular fuzzy matrix, the symmetric times triangular (st) decomposition. by this decomposition, every nonsingular fuzzy matrix can be represented as a product of a fuzzy symmetric matrix s and a fuzzy triangular matrix t.

We consider the following streaming problem: given a hardwired m × n matrix A together with a poly(mn)-bit hardwired string of advice that may depend on A, for any x with coordinates x1, . . . xn presented in order, output the coordinates of A · x in order. Our focus is on using as little memory as possible while computing A · x; we do not count the size of the output tape on which the coordina...