4 papers
Geometry- and Topology-Informed Quantum Computing: From States to Real-Time Control with FPGA Prototypes
Gunhee Cho
This book gives a geometry-first, hardware-aware route through quantum-information workflows, with one goal: connect states, circuits, and measurement to deterministic classical pi…
Weighted Projective Line ZX Calculus: Quantized Orbifold Geometry for Quantum Compilation
Gunhee Cho, Jason Cheng, Evelyn Li
We develop a unified geometric framework for quantum circuit compilation based on quantized orbifold phases and their diagrammatic semantics. Physical qubit platforms impose hetero…
Curvature-Aware Optimization of Noisy Variational Quantum Circuits via Weighted Projective Line Geometry
Gunhee Cho, Jessie Wang, Angela Yue
We develop a differential-geometric framework for variational quantum circuits in which noisy single- and multi-qubit parameter spaces are modeled by weighted projective lines (WPL…
Sharp lower bounds for the first eigenvalue of Steklov-type eigenvalue problems on a compact surface
Gunhee Cho, Keomkyo Seo
Let be a compact surface with smooth boundary and the geodesic curvature along for some constant . We prove that, if the Gaus…