Results 11 to 20 of about 263 (180)

Shorter quantum circuits via single-qubit gate approximation [PDF]

Quantum, 2023
We give a novel procedure for approximating general single-qubit unitaries from a finite universal gate set by reducing the problem to a novel magnitude approximation problem, achieving an immediate improvement in sequence length by a factor of 7/9 ...
Vadym Kliuchnikov, Kristin Lauter, Romy Minko, Adam Paetznick, Christophe Petit   +4 more
doaj   +1 more source

Contractions on ranks and quaternion types in clifford algebras

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015
In this paper we consider expressions in real and complex Clifford algebras, which we call contractions or averaging. We consider contractions of arbitrary Clifford algebra element.
Dmitry S Shirokov
doaj   +1 more source

Clifford-Valued Shearlet Transforms on Cl(P,Q)-Algebras

Journal of Mathematics, 2022
The shearlet transform is a promising and powerful time-frequency tool for analyzing nonstationary signals. In this article, we introduce a novel integral transform coined as the Clifford-valued shearlet transform on Cl(p,q) algebras which is designed to
Firdous A. Shah, Aajaz A. Teali, Mawardi Bahri   +2 more
doaj   +1 more source

Topological preons from algebraic spinors

European Physical Journal C: Particles and Fields, 2021
It is demonstrated that many of the assumed rules that govern the structure of a previously proposed topological preon model, in which simple non-trivial braids consisting of three twisted ribbons are mapped to the first generation of leptons and quarks,
Niels G. Gresnigt
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Exponential and logarithm of multivector in low-dimensional (n = p + q < 3) Clifford algebras

Nonlinear Analysis, 2022
The aim of the paper is to give a uniform picture of complex, hyperbolic, and quaternion algebras from a perspective of the applied Clifford geometric algebra.
Adolfas Dargys, Artūras Acus
doaj   +1 more source

Skew Clifford algebras

Journal of Pure and Applied Algebra, 2019
We introduce a generalization, called a skew Clifford algebra, of a Clifford algebra, and relate these new algebras to the notion of graded skew Clifford algebra that was defined in 2010. In particular, we examine homogenizations of skew Clifford algebras, and determine which skew Clifford algebras can be homogenized to create Artin-Schelter regular ...
Cassidy, Thomas, Vancliff, Michaela
openaire   +4 more sources

Representations of orthogonal and symplectic Yangians

Nuclear Physics B, 2021
Extended Yangian algebras of orthogonal and symplectic types are defined by the Yang-Baxter RLL relation involving the fundamental R-matrix with so(n) or sp(2m) symmetry. We study representations of highest weight characterized by weight function ratios.
D. Karakhanyan, R. Kirschner
doaj   +1 more source

Spectrum and Analytic Functional Calculus for Clifford Operators via Stem Functions

Concrete Operators, 2021
The main purpose of this work is the construction of an analytic functional calculus for Clifford operators, which are operators acting on certain modules over Clifford algebras.
Vasilescu Florian-Horia
doaj   +1 more source

Structure theory of Clifford-Weyl algebras and representations of ortho-symplectic Lie superalgebras [PDF]

AUT Journal of Mathematics and Computing
In this article, the structure of the Clifford-Weyl superalgebras and their associated Lie superalgebras will be investigated. These superalgebras have a natural supersymmetric inner product which is invariant under their Lie superalgebra structures. The
Nasser Boroojerdian
doaj   +1 more source

ON FRT– CLIFFORD ALGEBRAS

Advances in Applied Clifford Algebras, 2000
LaTeX2e, 28 pages, 3 ...
Heckenberger, I., Schüler, A.
openaire   +2 more sources