Results 31 to 40 of about 8,160 (120)
Photonic Unitary Circuits for Quantum Information Processing
Advanced Quantum Technologies, Volume 9, Issue 3, March 2026.Unitary transformations are the cornerstone of quantum computing, enabling reversible manipulation of quantum states. This review evaluates photonic waveguide architectures as an evolving solution for quantum computing, exploiting the unique properties of photons. It investigates current theoretical frameworks, material platforms, and design strategies.
Kevin Zelaya +6 more
wiley +1 more source
Quasi-Frobenius quotient rings of group rings [PDF]
Journal of the Australian Mathematical Society, 1975 The purpose of this paper is an extension of a theorem of Hughes (1973). He showed: Let R be a ring which has a right artinian right quotient ring and let G be a group which has a (transfinite) ascending normal series with each factor either finite or cyclic, but only a finite number of finite factors.
openaire +2 more sources
Local equivalence and refinements of Rasmussen's s‐invariant
Journal of Topology, Volume 19, Issue 1, March 2026.Abstract Inspired by the notions of local equivalence in monopole and Heegaard Floer homology, we introduce a version of local equivalence that combines odd Khovanov homology with equivariant even Khovanov homology into an algebraic package called a local even–odd (LEO) triple.
Nathan M. Dunfield +2 more
wiley +1 more source
A note on quasi-Frobenius rings [PDF]
Proceedings of the American Mathematical Society, 1996 It is shown that a semiperfect ring R R is quasi-Frobenius if and only if every closed submodule of R ( ω ) R(\omega ) is non-small, where R ( ω ) R(\omega ) denotes the direct sum of ω \omega copies of the right ...
Dinh Van Huynh, Ngo Si Tung
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Efficient Dynamics: Reduced‐Order Modeling of the Time‐Dependent Schrödinger Equation
Advanced Physics Research, Volume 5, Issue 2, February 2026.Reduced‐order modeling (ROM) approaches for the time‐dependent Schrödinger equation are investigated, highlighting their ability to simulate quantum dynamics efficiently. Proper Orthogonal Decomposition, Dynamic Mode Decomposition, and Reduced Basis Methods are compared across canonical systems and extended to higher dimensions.
Kolade M. Owolabi
wiley +1 more source
Sharp commutator estimates of all order for Coulomb and Riesz modulated energies
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 207-292, February 2026.Abstract We prove functional inequalities in any dimension controlling the iterated derivatives along a transport of the Coulomb or super‐Coulomb Riesz modulated energy in terms of the modulated energy itself. This modulated energy was introduced by the second author and collaborators in the study of mean‐field limits and statistical mechanics of ...
Matthew Rosenzweig, Sylvia Serfaty
wiley +1 more source
On groupoid graded (quasi-)Frobenius rings
Indian Journal of Pure and Applied MathematicsEmil Ilić-Georgijević
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Hypergeometric motives from Euler integral representations
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We revisit certain one‐parameter families of affine covers arising naturally from Euler's integral representation of hypergeometric functions. We introduce a partial compactification of this family. We show that the zeta function of the fibers in the family can be written as an explicit product of L$L$‐series attached to nondegenerate ...
Tyler L. Kelly, John Voight
wiley +1 more source
Non‐Linear Reduced Order Modelling of Transonic Potential Flows for Fast Aerodynamic Analysis
International Journal for Numerical Methods in Engineering, Volume 127, Issue 2, 30 January 2026.ABSTRACT This work presents a physics‐based reduced order modelling (ROM) framework for the efficient simulation of steady transonic potential flows around aerodynamic configurations. The approach leverages proper orthogonal decomposition and a least‐squares Petrov‐Galerkin (LSPG) projection to construct intrusive ROMs for the full potential equation ...
M. Zuñiga +3 more
wiley +1 more source
Data‐Driven Parameterization Refinement for the Structural Optimization of Cruise Ship Hulls
International Journal for Numerical Methods in Engineering, Volume 126, Issue 24, 30 December 2025.ABSTRACT In this work, we focus on the early design phase of cruise ship hulls, where the designers are tasked with ensuring the structural resilience of the ship against extreme waves while reducing steel usage and respecting safety and manufacturing constraints. At this stage, the geometry of the ship is already finalized, and the designer can choose
Lorenzo Fabris +4 more
wiley +1 more source