2 citations
2 papers
quant-ph2026
Quantum Walks on Simplicial Complexes and Harmonic Homology: Application to Topological Data Analysis with Superpolynomial Speedups
Ryu Hayakawa, Kuo-Chin Chen, Min-Hsiu Hsieh
This work investigates whether quantum walks on simplicial complexes exhibit quantum advantages. We introduce a novel quantum walk that encodes the combinatorial Laplacian, a key o…
cs.SC2026★ 2 cited
Equivalence Checking of Quantum Circuits via Path-Sum and Weighted Model Counting
Wei-Jia Huang, Christophe Chareton, Yu-Fang Chen +4
Equivalence checking of quantum circuits is a central verification task in quantum computing, ensuring the correctness of circuit optimizations, hardware mappings, and compilation…