5 papers
Robustness of Magic and the Directed Geometry of State Conversion
Satoshi Kanno, Yoshi-aki Shimada
In this work, we introduce a state-space distance calibrated by stabilizer states based on the dual structure of the robustness of magic (RoM), and show that RoM is exactly represe…
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…
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…