The PSLQ procedure can be regarded as a jazzed-up version of an integer-relation algorithm dating back more than 2,000 years to the Greek geometer Euclid of Alexandria (365–300 B.C.). The Euclidean ...
A vector $m = (m_1,\ldots, m_n) \in \mathbf{Z}^n\backslash\{0\}$ is called an integer relation for the real numbers $\alpha_1,\ldots, \alpha_n$, if $\sum \alpha_im_i ...
This is a preview. Log in through your library . Abstract Let $x = (x_1, x_2,\ldots, x_n)$ be a vector of real numbers. $x$ is said to possess an integer relation if ...
Abstract: The branch and bound (BB) algorithm is widely used to obtain the global solution of mixed-integer linear programming (MILP) problems. On the other hand, when the traditional BB structure is ...
Abstract: This paper presents an integer preserving (IP) version of the Levinson algorithm to solve a normal set of equations for a Hermitian Toeplitz matrix with any singularity profile. The IP ...
A division algorithm provides a quotient and a remainder when we divide two number. They are generally of two type slow algorithm and fast algorithm. Slow division algorithm are restoring, ...
Application of Hadamard gates. Controlled modular exponentiation. Inverse QFT. Probability Peaks: A histogram displaying the probability of measured phases. The red dashed lines indicate expected ...