6 papers
Hodge Spectral Surrogates for Topology-Constrained Optimization
Satoshi Kanno, Yoshi-aki Shimada
Topology-constrained optimization arises in applications such as medical image segmentation, geometric design, and network generation, where global structural correctness matters.…
Gauge Geometry of Hodge Zero-Mode Transport in Parameter-Dependent Topological Data Analysis
Satoshi Kanno, Rei Nishimura, Hiroshi Yamauchi +1
We propose a practical computational framework for detecting structural changes in parameter-dependent topological data. In many applications, such as time-series data analysis, an…
Quantum-accelerated conjugate gradient method via spectral initialization
Shigetora Miyashita, Yoshi-aki Shimada
Solving large-scale linear systems problems is a cornerstone in scientific and industrial computing. Classical iterative solvers face increasing difficulty as the number of unknown…
Spectral Codes: A Geometric Formalism for Quantum Error Correction
Satoshi Kanno, Yoshi-aki Shimada
We present a new geometric perspective on quantum error correction based on spectral triples in noncommutative geometry. In this approach, quantum error correcting codes are reform…
Quantum spectroscopy of topological dynamics via a supersymmetric Hamiltonian
Hiroshi Yamauchi, Satoshi Kanno, Yuki Sato +4
Topological data analysis (TDA) characterizes complex dynamics through global invariants, but classical computation becomes prohibitive for high-dimensional data. We reinterpret ti…
Genesis of a Horizontal Electric Field within the Lipid Bilayer: A Bilayer-Embedded Actuation Platform
Maki Komiya, Madoka Sato, Teng Ma +19
The electric field of biological membranes has long been treated as a one-dimensional quantity, defined solely by the component normal to the bilayer (E_VERT). Here, we present a b…