Results 21 to 30 of about 2,707,349 (158)
Constructions of complex hadamard matrices via tiling abelian groups [PDF]
, 2007 Applications in quantum information theory and quantum tomography have raised current interest in complex Hadamard matrices. In this note we investigate the connection between tiling of Abelian groups and constructions of complex Hadamard matrices ...
Matolcsi, Máté +2 more
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Lower bounds for the normalized height and non-dense subsets of varieties in an abelian variety [PDF]
, 2010 This work is the third part of a series of papers. In the first two we considered curves and varieties in a power of an elliptic curve. Here we deal with subvarieties of an abelian variety in general.
Viada, Evelina
core +1 more source
Some Questions on the Ideal Class Group of Imaginary Abelian Fields [PDF]
, 2007 Let k be an imaginary quadratic field. Assume that the class number of k is exactly an odd prime number p, and p splits into two distinct primes in k. Then it is known that a prime ideal lying above p is not principal.
Itoh, Tsuyoshi
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Chiral edge states emerging on anyon-net
SciPost Physics CoreWe propose a symmetry-based approach to constructing lattice models for chiral topological phases, focusing on non-Abelian anyons. Using a 2+1D version of anyon chains and modular tensor categories (MTCs), we ensure exact MTC symmetry at the microscopic ...
Atsushi Ueda, Kansei Inamura, Kantaro Ohmori
doaj +1 more source
Nonhalting abelian networks [PDF]
, 2019 An abelian network is a collection of communicating automata whose state transitions and message passing each satisfy a local commutativity condition. The foundational theory for abelian networks was laid down in a series of papers by Bond and Levine ...
Chan, Swee Hong
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Topological data analysis of monopole current networks in $U(1)$ lattice gauge theory
SciPost PhysicsIn $4$-dimensional pure compact $U(1)$ lattice gauge theory, we analyse topological aspects of the dynamics of monopoles across the deconfinement phase transition. We do this using tools from Topological Data Analysis (TDA).
Xavier Crean, Jeffrey Giansiracusa, Biagio Lucini
doaj +1 more source
Topological Quantum Electrodynamics in Synthetic Non-Abelian Gauge Fields
PRX QuantumQuantum electrodynamics (QED), a cornerstone framework that describes light-matter interactions rooted in Abelian symmetries, renders the harnessing of synthetic non-Abelian gauge fields as a fundamental yet uncharted frontier. Here, we develop a general
Joseph Huang (黄启南) +5 more
doaj +1 more source
Torsion pairs via the Ziegler spectrum
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract We establish a bijection between torsion pairs in the category of finite‐dimensional modules over a finite‐dimensional algebra A$A$ and pairs (Z,I)$(\mathcal {Z},\mathcal {I})$ formed by a closed rigid set Z$\mathcal {Z}$ in the Ziegler spectrum of A$A$ and a set I$\mathcal {I}$ of indecomposable injective A$A$‐modules. This is as an extension
Lidia Angeleri Hügel +2 more
wiley +1 more source
Emergent Spin Hall Quantization and High‐Order van Hove singularities in Square‐Octagonal MA2Z4
Advanced Physics Research, Volume 5, Issue 7, July 2026.Square‐octagonal MA2Z4 (M = Mo/W, A = Si/Ge, Z = pnictogen) monolayers are predicted to realize quantum spin Hall insulators with nearly quantized spin Hall conductivity enabled by an emergent spin U(1) quasi‐symmetry. Materials with Z = As and Sb host quasi‐flat bands with high‐order van Hove singularities near the Fermi level, making them promising ...
Rahul Verma +3 more
wiley +1 more source
Physical Review XWe study topologically stable defect structures in systems where the defect line classification in three dimensions and associated algebra of interactions (the fundamental group) are governed by the non-Abelian eight-element group, the quaternions Q_{8}.
Jin-Sheng Wu +3 more
doaj +1 more source