Results 31 to 40 of about 251 (170)
Developing GA-FuL: A Generic Wide-Purpose Library for Computing with Geometric Algebra
MathematicsThe Geometric Algebra Fulcrum Library (GA-FuL) version 1.0 is introduced in this paper as a comprehensive computational library for geometric algebra (GA) and Clifford algebra (CA), in addition to other classical algebras.
Ahmad Hosny Eid, Francisco G. Montoya
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Geometric Algebra in Signal and Image Processing: A Survey
IEEE Access, 2019 Recently, Geometric Algebra (GA) has attracted more and more attention in the field of signal and image processing. GA can treat multi-dimensional signals in a holistic way to keep the correlations among multiple dimensions and avoid information loss. So
Rui Wang +3 more
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Compile‐Once Block Encodings for Masked Similarity‐Transformed Effective Hamiltonians
Advanced Quantum Technologies, Volume 9, Issue 9, September 2026.Composer transforms structured electronic‐structure operators into a reusable quantum‐circuit fabric. Once compiled, the same block‐encoding architecture is re‐dialed through coefficients, rotation angles, and masks to generate similarity‐transformed effective Hamiltonians across related problem instances, avoiding repeated structural recompilation ...
Bo Peng, Yuan Liu, Karol Kowalski
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Interpolation categories for conformal embeddings
Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.Abstract In this paper, we give a diagrammatic description of the categories of modules coming from the conformal embeddings V(slN,N)⊂V(soN2−1,1)$\mathcal{V}({\mathfrak{sl}}_{N},N)\subset \mathcal{V}({\mathfrak{so}}_{{N}^{2}-1},1)$. A small variant of this construction (morally corresponding to a conformal embedding of glN${\mathfrak{gl}}_{N}$ level N ...
Cain Edie‐Michell, Noah Snyder
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On Matrix Representations of Geometric (Clifford) Algebras
Journal of Geometry and Symmetry in Physics, 2017 The author deals with the theory of representations of geometric (Clifford) algebras with real square matrices. In Sections 2--5, the author reviews some fundamental and concrete facts about matrix representations. In the remaining part of the paper, the author present general definitions of isometries (like direct isometries and indirect isometries ...
openaire +3 more sources
Kuga–Satake Construction on Families of K3 Surfaces of Picard Rank 14
Mathematische Nachrichten, Volume 299, Issue 8, Page 1894-1916, August 2026.ABSTRACT The isometry between the type IV6 and the type II4 hermitian symmetric domains suggests a possible relation between suitable moduli spaces of K3 surfaces of Picard rank 14 and of polarized abelian 8‐folds with totally definite quaternion multiplication. We show how this isometry induces a geometrically meaningful map between such moduli spaces
Flora Poon
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AlgorithmsParkinson’s disease (PD) is a chronic neurodegenerative disorder that progressively impairs motor functions. Clinical assessments have traditionally relied on rating scales such as the Movement Disorder Society Unified Parkinson Disease Rating Scale (MDS-
Giovanni Saggio +6 more
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Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract This paper investigates the maximal subgroups of a free projection‐generated regular ∗$*$‐semigroup PG(P)${{\textsf {PG}}}(P)$ over a projection algebra P$P$, and their relationship to the maximal subgroups of the free idempotent‐generated semigroup IG(E)${{\textsf {IG}}}(E)$ over the corresponding biordered set E=E(P)$E = {{\textsf {E}}}(P)$.
James East +3 more
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Computing the Molecular Ground State Energy in a Restricted Active Space Using Quantum Annealing
Advanced Quantum Technologies, Volume 9, Issue 7, July 2026.Can modern quantum annealers tackle realistic molecular problems? By combining XBK Hamiltonian mappings, next‐generation D‐Wave hardware, and advanced annealing protocols, significantly larger molecular instances become accessible with improved energy accuracy.
Stefano Bruni, Enrico Prati
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Solid Mechanics Segregated Solver Acceleration With Jacobian‐Free Newton‐Krylov
International Journal for Numerical Methods in Engineering, Volume 127, Issue 11, 15 June 2026.ABSTRACT The segregated algorithm is a common approach for finite volumes solvers in solid mechanics, providing a memory‐efficient and straightforward implementation. Due to the inter‐coupling of the components through the source terms, it suffers from a slow convergence behavior in specific scenarios, such as geometries with significantly uneven ...
Andry Monlon +5 more
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