Results 51 to 60 of about 47,483 (247)
Two-sided Clifford Fourier transform with two square roots of -1 in Cl(p,q) [PDF]
, 2013 We generalize quaternion and Clifford Fourier transforms to general two-sided Clifford Fourier transforms (CFT), and study their properties (from linearity to convolution).
Hitzer, Eckhard
core
Analytical Frameworks and Theories of Electric Power in Non‐Linear Circuits
IET Generation, Transmission &Distribution, Volume 20, Issue 1, January/December 2026.Based on the challenges of distorted currents and non‐linear components in modern power grids, this article reviews seminal electrical power theories that seek to generalize the traditional definitions of active, reactive, and apparent power. It provides a detailed analysis of their mathematical foundations, practical implementation, and validity.
Rafael Escudero, Luis Ibarra
wiley +1 more source
The spinor string in a Clifford substructure of space-time
, 2020 We resolve the space-time coordinates of Minkowski space into Weyl spinors with components in a split Clifford algebra. Poisson brackets are defined for Clifford-valued canonical variables and applied to the quantization of the point particle and string.
Borchsenius, Kaare
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Braided Chains of q-Deformed Heisenberg Algebrae
, 1998 Given M copies of a q-deformed Weyl or Clifford algebra in the defining representation of a quantum group $G_q$, we determine a prescription to embed them into a unique, inclusive $G_q$-covariant algebra.
Fiore, Gaetano
core +1 more source
Annalen der Physik, Volume 537, Issue 12, December 2025.A set of particle representations, familiar from the Standard Model, collectively form a superalgebra. Those representations mirroring the behaviour of the Standard Model's gauge bosons, and three generations of fermions, are each included in this algebra, with exception only to those representations involving the top quark.
N. Furey
wiley +1 more source
, 2009 In order to realize supersymmetric quantum mechanics methods on a four dimensional classical phase-space, the complexified Clifford algebra of this space is extended by deforming it with the Moyal star-product in composing the components of Clifford ...
A Verçin +12 more
core +1 more source
Advanced Quantum Technologies, Volume 8, Issue 12, December 2025.The hybrid approach to Quantum Supervised Machine Learning is compatible with Noisy Intermediate Scale Quantum (NISQ) devices but hardly useful. Pure quantum kernels requiring fault‐tolerant quantum computers are more promising. Examples are kernels computed by means of the Quantum Fourier Transform (QFT) and kernels defined via the calculation of ...
Massimiliano Incudini +2 more
wiley +1 more source
General Gate Teleportation and the Inner Structure of Its Clifford Hierarchies
Mathematical Methods in the Applied Sciences, Volume 48, Issue 17, Page 15985-15997, 30 November 2025.ABSTRACT The quantum gate teleportation mechanism allows for the fault‐tolerant implementation of “Clifford hierarchies” of gates assuming, among other things, a fault‐tolerant implementation of the Pauli gates. We discuss how this method can be extended to assume the fault‐tolerant implementation of any orthogonal unitary basis of operators, in such a
Samuel González‐Castillo +3 more
wiley +1 more source
Clifford's Algebraic Approach in Determining the Direction of Qibla
NoumericoWhile classical methods and hisab methods based on spherical trigonometry and vector algebra are commonly used, this article introduces a more elegant, purely geometric alternative using Clifford Algebra (within the framework of Geometric Algebra).
Muhamad Imam Mutamaqin +1 more
doaj +1 more source
Clifford algebras and the classical dynamical Yang-Baxter equation
, 2002 We describe a relationship of the classical dynamical Yang-Baxter equation with the following elementary problem for Clifford algebras: Given a vector space $V$ with quadratic form $Q_V$, how is the exponential of an element in $\wedge^2(V)$ under ...
Alekseev, A., Meinrenken, E.
core +3 more sources