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quant-ph2026
Compass in the Mirror: Quantum Backpropagation with the Hopf Ansatz
Ruge Lin, Ranyiliu Chen
A variational quantum state may have many control angles, and its complete gradient contains one derivative for each. The task is to turn access to selected derivatives into a shar…
quant-ph2026
A Compass on the Quantum State Sphere: The Hopf Ansatz for Arbitrary Pure-State Optimization
Ruge Lin, Guangxi Li
Optimizing an arbitrary pure state requires more than a circuit that can prepare it: one also needs coordinates, local distance information, and measurable derivative directions. W…