Results 31 to 40 of about 9,807 (108)
Quantum Circuit Design using a Progressive Widening Enhanced Monte Carlo Tree Search
Advanced Quantum Technologies, Volume 8, Issue 10, October 2025.This article proposes the Progressive Widening enhanced Monte Carlo Tree Search (PWMCTS) to design parameterized quantum circuits. It improves the efficiency of the previous MCTS‐based techniques in terms of number of quantum circuit evaluation, number of gates and CNOT count.
Vincenzo Lipardi +3 more
wiley +1 more source
Holomorphic field theories and higher algebra
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source
A reduction theorem for the Character Triple Conjecture
Proceedings of the London Mathematical Society, Volume 131, Issue 4, October 2025.Abstract In this paper, we show that the Character Triple Conjecture holds for all finite groups once assumed for all quasi‐simple groups. This answers the question on the existence of a self‐reducing form of Dade's conjecture, a problem that was extensively investigated by Dade in the 1990s.
Damiano Rossi
wiley +1 more source
British Journal of Educational Technology, Volume 56, Issue 5, Page 1814-1841, September 2025.Abstract A promising approach to support students' math learning effectively, automatically and at scale within existing learning environments is conversational artificial intelligence (ConvAI). Although previous studies have suggested ConvAI's potential to guide, facilitate and enhance learning, its effects on students' conceptual change and academic ...
Chenglu Li, Bailing Lyu
wiley +1 more source
Interactions between universal composition operators and complex dynamics
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract This paper is concerned with universality properties of composition operators Cf$C_f$, where the symbol f$f$ is given by a transcendental entire function restricted to parts of its Fatou set. We determine universality of Cf$C_f$ when f$f$ is restricted to (subsets of) Baker and wandering domains.
Vasiliki Evdoridou +2 more
wiley +1 more source
Deformations of Anosov subgroups: Limit cones and growth indicators
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract Let G$G$ be a connected semisimple real algebraic group. We prove that limit cones vary continuously under deformations of Anosov subgroups of G$G$ under a certain convexity assumption, which turns out to be necessary. We apply this result to the notion of sharpness for the action of a discrete subgroup on a non‐Riemannian homogeneous space ...
Subhadip Dey, Hee Oh
wiley +1 more source
Cyclic cubic points on higher genus curves
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract The distribution of degree d$d$ points on curves is well understood, especially for low degrees. We refine this study to include information on the Galois group in the simplest interesting case: d=3$d = 3$. For curves of genus at least 5, we show cubic points with Galois group C3$C_3$ arise from well‐structured morphisms, along with providing ...
James Rawson
wiley +1 more source
On the Jucys–Murphy method and fusion procedure for the Sergeev superalgebra
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract We use the Jucys–Murphy elements to construct a complete set of primitive idempotents for the Sergeev superalgebra Sn${\mathcal {S}}_n$. We produce seminormal forms for the simple modules over Sn${\mathcal {S}}_n$ and over the spin symmetric group algebra with explicit constructions of basis vectors.
Iryna Kashuba +2 more
wiley +1 more source
What can we Learn from Quantum Convolutional Neural Networks?
Advanced Quantum Technologies, Volume 8, Issue 7, July 2025.Quantum Convolutional Neural Networks have been long touted as one of the premium architectures for quantum machine learning (QML). But what exactly makes them so successful for tasks involving quantum data? This study unlocks some of these mysteries; particularly highlighting how quantum data embedding provides a basis for superior performance in ...
Chukwudubem Umeano +3 more
wiley +1 more source
Classification of 7-dimensional subalgebras of 8-dimensional Clifford algebra
, 2018 All 7-dimensional subalgebras of the 8-dimensional Clifford algebra over the field C of complex numbers are found. Canonical bases are used throughout the determination. It is found that the 8-dimensional Clifford algebra over C has exactly eight 7-dimensional subalgebras and each of these eight is over the complex numbers.
openaire +2 more sources