Author

Ze-Yu Chen

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Preprint Aug 2026

Quantum Natural Gradient on Quotient Spaces

A parametrized quantum circuit reports its state geometry through a quantum Fisher information matrix (QFIM), often singular. A small Fisher value can reflect exact state-preserving redundancy, compression by the circuit chart, or weak intrinsic distinguishability, and these mechanisms call for different numerical trea...

Ze-Yu Chen · 2 citations · ⚡1

Preprint Aug 2026

Quantum Natural Gradient on Quotient Spaces

Parametrized quantum circuits often contain state-preserving redundancies that make the quantum Fisher information matrix (QFIM) singular even when the physical state manifold is regular. We formulate quantum natural gradient (QNG) on the resulting parameter quotient and prove that, when the prescribed redundancy exhau...

Ze-Yu Chen · 0 citations