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quant-ph2026
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…
quant-ph2026
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…
quant-ph2025
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…