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Analysis

This paper proposes a novel method for creating quantum gates using the geometric phases of vibrational modes in a three-body system. The use of shape space and the derivation of an SU(2) holonomy group for single-qubit control is a significant contribution. The paper also outlines a method for creating entangling gates and provides a concrete physical implementation using Rydberg trimers. The focus on experimental verification through interferometric protocols adds to the paper's value.
Reference

The paper shows that its restricted holonomy group is SU(2), implying universal single-qubit control by closed loops in shape space.

Analysis

This paper addresses the limitations of existing high-order spectral methods for solving PDEs on surfaces, specifically those relying on quadrilateral meshes. It introduces and validates two new high-order strategies for triangulated geometries, extending the applicability of the hierarchical Poincaré-Steklov (HPS) framework. This is significant because it allows for more flexible mesh generation and the ability to handle complex geometries, which is crucial for applications like deforming surfaces and surface evolution problems. The paper's contribution lies in providing efficient and accurate solvers for a broader class of surface geometries.
Reference

The paper introduces two complementary high-order strategies for triangular elements: a reduced quadrilateralization approach and a triangle based spectral element method based on Dubiner polynomials.

SeedFold: Scaling Biomolecular Structure Prediction

Published:Dec 30, 2025 17:05
1 min read
ArXiv

Analysis

This paper presents SeedFold, a model for biomolecular structure prediction, focusing on scaling up model capacity. It addresses a critical aspect of foundation model development. The paper's significance lies in its contributions to improving the accuracy and efficiency of structure prediction, potentially impacting the development of biomolecular foundation models and related applications.
Reference

SeedFold outperforms AlphaFold3 on most protein-related tasks.

Analysis

This paper introduces a novel approach to solve elliptic interface problems using geometry-conforming immersed finite element (GC-IFE) spaces on triangular meshes. The key innovation lies in the use of a Frenet-Serret mapping to simplify the interface and allow for exact imposition of jump conditions. The paper extends existing work from rectangular to triangular meshes, offering new construction methods and demonstrating optimal approximation capabilities. This is significant because it provides a more flexible and accurate method for solving problems with complex interfaces, which are common in many scientific and engineering applications.
Reference

The paper demonstrates optimal convergence rates in the $H^1$ and $L^2$ norms when incorporating the proposed spaces into interior penalty discontinuous Galerkin methods.

Analysis

This paper presents new measurements from the CMS experiment in Pb-Pb collisions, focusing on the elliptic and triangular flow of Ds mesons and the nuclear modification factor of Lambda_c baryons. These measurements are crucial for understanding the behavior of charm quarks in the Quark-Gluon Plasma (QGP), providing insights into energy loss and hadronization mechanisms. The comparison of Ds and D0 flow, and the Lambda_c/D0 yield ratio across different collision systems, offer valuable constraints for theoretical models.
Reference

The paper measures the elliptic ($v_2$) and triangular ($v_3$) flow of prompt $\mathrm{D}_{s}^{\pm}$ mesons and the $\mathrmΛ_{c}^{\pm}$ nuclear modification factor ($R_{AA}$).

Analysis

This paper investigates the application of the Factorized Sparse Approximate Inverse (FSAI) preconditioner to singular irreducible M-matrices, which are common in Markov chain modeling and graph Laplacian problems. The authors identify restrictions on the nonzero pattern necessary for stable FSAI construction and demonstrate that the resulting preconditioner preserves key properties of the original system, such as non-negativity and the M-matrix structure. This is significant because it provides a method for efficiently solving linear systems arising from these types of matrices, which are often large and sparse, by improving the convergence rate of iterative solvers.
Reference

The lower triangular matrix $L_G$ and the upper triangular matrix $U_G$, generated by FSAI, are non-singular and non-negative. The diagonal entries of $L_GAU_G$ are positive and $L_GAU_G$, the preconditioned matrix, is a singular M-matrix.

Analysis

This paper investigates the magnetic properties of the quantum antiferromagnet CsFeCl3 under high magnetic fields and pressures. It combines experimental and theoretical approaches to reveal a complex magnetization process, including a metamagnetic transition. The key finding is the emergence of three-body interactions, which are crucial for understanding the observed fractional steps in magnetization at high fields. This challenges conventional spin models and opens possibilities for exploring exotic phases in quantum magnets.
Reference

The high-field regime requires a new perspective, which we provide through a projected spin-1/2 framework built from Zeeman-selected crystal-field states not related by time reversal. This construction naturally allows emergent three-body interactions on triangular plaquettes and explains the asymmetric evolution of the fractional steps in the magnetization.