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Convergence of kernel and neural-network methods for Hamilton--Jacobi--Bellman equations on unbounded domains
Yumiharu Nakano
We derive error bounds from empirical squared residuals for two non-monotone, mesh-free approximations of Hamilton--Jacobi--Bellman equations on unbounded spatial domains: collocat…
Bounds on adiabatic path geometry from the width class of the gap profile
Mancheon Han, Sangkook Choi
In an adiabatic evolution, the wave function follows the path of ground states of a Hamiltonian as is tuned from to . The geometry of this adiaba…
Mitigating Trotter Errors via Post-Processed Symmetry Restoration
Sangjin Lee, Sangkook Choi
Quantum simulation is a powerful tool for exploring complex quantum many-body systems such as condensed matter physics and gauge theories. Trotterization, which approximates the id…
Strong electron correlations and ligand hybridization for altermagnetism
Byungkyun Kang, Anderson Janotti, Dai Q. Ho +5
Spin-band splitting is a hallmark of altermagnetism, intrinsically linked to magnetic ordering driven by electron correlations. However, recent inconsistencies in the detection of…
QAssemble: A Pure Python Package for Quantum Many-Body Theory
Seongjun Mo, Dongming Li, Mancheon Han +5
QAssemble is a pure-Python package for the quantum many-body problem. It implements various functional approaches, such as tight-binding, Hartree-Fock, and GW approximations within…
qSHIFT: An Adaptive Sampling Protocol for Higher-Order Quantum Simulation
Sangjin Lee, Sangkook Choi
Early fault-tolerant quantum computers are expected to support reliable but depth-limited quantum circuits, while classical computational resources remain available. These conditio…