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quant-ph2025
Certified Quotient Calibration with Weighted-Projective Orbits and Finite-Shot Guarantees
Gunhee Cho, Jessie Wang, Angela Yue
Periodic controls can make a quantum-calibration scan redundant, but compilation, noise, and measurement can invalidate the symmetry behind that reduction. We introduce Certified Q…
quant-ph2025
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…
math.DG2025
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 Gaussi…