4 papers
Fourier-Diagonalized Natural Gradients and Sobolev Mirror Descent
Jeongbin Jo
We study natural-gradient updates whose metric operators are diagonalized by the Fourier transform and relate them to Sobolev mirror descent. Translation-invariant Fisher geometrie…
Deterministic Ground State Preparation via Power-Cosine Filtering of Time Evolution Operators
Jeongbin Jo
The deterministic preparation of quantum many-body ground states is essential for advanced quantum simulation, yet optimal algorithms often require prohibitive hardware resources.…
McLachlan-projected reduced dynamics for ill-posed Schrödingerized backward diffusion
Jeongbin Jo
Backward diffusion is a prototype ill-posed evolution: high spatial frequencies grow exponentially in time, so mesh-based time marching without explicit regularization is quickly o…
Quantum Simulation of Non-Hermitian Linear Response via Schrödingerization
Jeongbin Jo
Linear response theory and Green's functions provide a universal framework for understanding dynamical correlations in strongly correlated open quantum systems. While the theoretic…