Tootfinder

Implementing a Universal Set of Geometric Quantum Gates through Dressed-State assisted STA
M. Estefan\'ia Rus, Alejandro Ferr\'on, Omar Osenda, Sergio S. Gomez
https://arxiv.org/abs/2509.08723 …

Implementing a Universal Set of Geometric Quantum Gates through Dressed-State assisted STA
Geometric quantum computation relies on the geometric phase that arises in adiabatic cyclic evolutions of non-degenerate quantum systems, enabling the design of robust quantum gates. However, the adiabatic condition requires long evolution times, making the system vulnerable to decoherence. In this work, we propose a scheme to realize fast and high-fidelity geometric quantum gates by applying the Superadiabatic Transitionless Driving (SATD) protocol within the dressed-state framework. We analyz…

MonochromeEvolutionaryBioDigitalMultiCellularSymbiosisStruggle
(Selected stills from my infinitely evolving C-SCAPE project, 2022 - made with #MonochromeMonday

Unstructured to structured: geometric multigrid on complex geometries via domain remapping
Nicolas Nytko, Scott MacLachlan, J. David Moulton, Luke N. Olson, Andrew Reisner, Matthew West
https://arxiv.org/abs/2509.08109

Unstructured to structured: geometric multigrid on complex geometries via domain remapping
For domains that are easily represented by structured meshes, robust geometric multigrid solvers can quickly provide the numerical solution to many discretized elliptic PDEs. However, for complicated domains with unstructured meshes, constructing suitable hierarchies of meshes becomes challenging. We propose a framework for mapping computations from such complex domains to regular computational domains via diffeomorphisms, enabling the use of robust geometric-style multigrid. This mapping facil…

Scalar-tensor theories in the Lyra geometry: Invariance under local transformations of length units and the Jordan-Einstein frame conundrum
E. C. Valad\~ao, Felipe Sobrero, Santiago Esteban Perez Bergliaffa
https://arxiv.org/abs/2510.08433

Scalar-tensor theories in the Lyra geometry: Invariance under local transformations of length units and the Jordan-Einstein frame conundrum
The Lyra geometry provides an interesting approach to develop purely geometrical scalar-tensor theories due to the natural presence of the Lyra scale function. This paper explores further the scale function source term to construct a theory on Lyra manifolds which contains proper generalizations of both Brans-Dicke gravity and the Einstein-Gauss-Bonnet scalar-tensor theory. It is shown that the symmetry group of gravitational theories on the Lyra geometry comprises not only coordinate transform…

Optimization of geometric hypergraph embedding
Francesco Zigliotto, Desmond J. Higham
https://arxiv.org/abs/2509.08772 https://arxiv.org/pdf/2509.08772

Optimization of geometric hypergraph embedding
We consider the problem of embedding the nodes of a hypergraph into Euclidean space under the assumption that the interactions arose through closeness to unknown hyperedge centres. In this way, we tackle the inverse problem associated with the generation of geometric random hypergraphs. We propose two new spectral algorithms; both of these exploit the connection between hypergraphs and bipartite graphs. The assumption of an underlying geometric structure allows us to define a concrete measure o…

Evaluating and comparing gender bias across four text-to-image models
Zoya Hammad, Nii Longdon Sowah
https://arxiv.org/abs/2509.08004 https://arxiv.org/pdf…

Evaluating and comparing gender bias across four text-to-image models
As we increasingly use Artificial Intelligence (AI) in decision-making for industries like healthcare, finance, e-commerce, and even entertainment, it is crucial to also reflect on the ethical aspects of AI, for example the inclusivity and fairness of the information it provides. In this work, we aimed to evaluate different text-to-image AI models and compare the degree of gender bias they present. The evaluated models were Stable Diffusion XL (SDXL), Stable Diffusion Cascade (SC), DALL-E and E…

Gender affirming Prius ovaries

(Quasi) Hamiltonian Systems and Non-Decomposable Poisson Geometry
C. Sard\'on, X. Zhao
https://arxiv.org/abs/2510.08307 https://arxiv.org/pdf/2510.0830…

(Quasi) Hamiltonian Systems and Non-Decomposable Poisson Geometry
In this work, we conduct a systematic study of Hamiltonian and quasi-Hamiltonian systems within the framework of nondecomposable generalized Poisson geometry. Our focus lies on the interplay between the algebraic structure of nondecomposable generalized Poisson brackets and the dynamical behavior of systems exhibiting specific symmetry properties. In particular, we demonstrate that if a dynamical system admits suitable invariance conditions -- such as those arising from Lie symmetries or conser…

Comparing Machine Learning and Physics-Based Nanoparticle Geometry Determinations Using Far-Field Spectral Properties
Mengqi Sun, Zixu Huang, Muammer Y. Yaman, Maxim Ziatdinov, Sergei V. Kalinin, David S. Ginger
https://arxiv.org/abs/2509.08174

Comparing Machine Learning and Physics-Based Nanoparticle Geometry Determinations Using Far-Field Spectral Properties
Anisotropic metal nanostructures exhibit polarization-dependent light scattering. This property has been widely exploited to determine geometries of subwavelength structures using far-field microscopy. Here, we explore the use of variational autoencoders (VAEs) to determine the geometries of gold nanorods (NRs) such as in-plane orientation and aspect ratio under linearly polarized dark-field illumination in an optical microscope. We input polarized dark-field scattering spectra and electron mic…

Spontaneous Emergence of Lorentzian Signature from Curvature-Minimizing Geometry
Miguel Bermudez
https://arxiv.org/abs/2510.07891 https://arxiv.org/pdf/251…

Spontaneous Emergence of Lorentzian Signature from Curvature-Minimizing Geometry
A simple covariant model is presented where the signature of the metric is a dynamical field. Degenerate minima of a curvature-minimizing potential correspond to Euclidean, Lorentzian or mixed phases of geometry. The Lorentzian phase emerges as the only stable configuration supporting causal propagation.