4 papers
Explicit block-encoding for partial differential equation-constrained optimization
Yuki Sato, Jumpei Kato, Hiroshi Yano +2
Partial differential equation (PDE)-constrained optimization, where an optimization problem is subject to PDE constraints, arises in various applications such as design, control, a…
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…
Circuit Design based on Feature Similarity for Quantum Generative Modeling
Mathis Makarski, Jumpei Kato, Yuki Sato +1
Quantum generative models are among the most promising candidates for a practical application of near-term quantum devices. However, current approaches mostly rely on general-purpo…
Quantum algorithm for partial differential equations of non-conservative systems with spatially varying parameters
Yuki Sato, Hiroyuki Tezuka, Ruho Kondo +1
Partial differential equations (PDEs) are crucial for modeling various physical phenomena such as heat transfer, fluid flow, and electromagnetic waves. In computer-aided engineerin…