Shi and Aharonov have shown that the Toffoli gate and the Hadamard gate give rise to an approximately universal set of quantum computational gates. The basic algebraic properties of this system have been studied in Dalla Chiara et al. (Foundations of Physics 39(6):559–572, 2009), where we have introduced the notion of Shi-Aharonov quantum computational structure. In this paper we propose an alg...

This work is a research on integrating quantum computing with process neural networks. To enhance the approximation and generalization ability of process neural networks (PNN), by studying the quantum implementation of information processing of process neuron, a new designing idea of process neuron, based on the quantum rotation gates and the multi-qubits controlled-Hadamard gates, is proposed ...

We propose a fast algorithm for ridge regression when the number of features is much larger than the number of observations (p n). The standard way to solve ridge regression in this setting works in the dual space and gives a running time of O(np). Our algorithm Subsampled Randomized Hadamard TransformDual Ridge Regression (SRHT-DRR) runs in time O(np log(n)) and works by preconditioning the de...

Recently, a general class of the Hermit--Hadamard-Fejer inequality on convex functions is studied in [H. Budak, March 2019, 74:29, textit{Results in Mathematics}]. In this paper, we establish a generalization of Hermit--Hadamard--Fejer inequality for fractional integral based on co-ordinated convex functions.Our results generalize and improve several inequalities obtained in earlier studies.

‎Making use of a linear operator‎, ‎which is defined here by means of‎ ‎the Hadamard product (or convolution)‎, ‎we define a subclass‎ ‎$mathcal {T}_{p}(a‎, ‎c‎, ‎gamma‎, ‎lambda; h)$ of meromorphically‎ ‎multivalent functions‎. ‎The main object of this paper is to‎ ‎investigate some important properties for the class‎. ‎We also derive‎ ‎many results for the Hadamard roducts of functions belong...

Geometry of Fisher metric and geodesics on a space of probability measures defined on a compact manifold is discussed and is applied to geometry of a barycenter map associated with Busemann function on an Hadamard manifold X . We obtain an explicit formula of geodesic and then several theorems on geodesics, one of which asserts that any two probability measures can be joined by a unique geodesi...

‎making use of a linear operator‎, ‎which is defined here by means of‎ ‎the hadamard product (or convolution)‎, ‎we define a subclass‎ ‎$mathcal {t}_{p}(a‎, ‎c‎, ‎gamma‎, ‎lambda; h)$ of meromorphically‎ ‎multivalent functions‎. ‎the main object of this paper is to‎ ‎investigate some important properties for the class‎. ‎we also derive‎ ‎many results for the hadamard roducts of functions belong...