3 papers
quant-ph2026
Encoding Choices and Fault-Tolerant Resource Estimates for Digital Quantum Hamiltonian Descent
Chenxu Liu, Meng Wang, Mingze Li +3
Quantum Hamiltonian descent (QHD) formulates continuous optimization as time-dependent quantum dynamics, where a kinetic term drives exploration and a potential term encodes the ob…
quant-ph2026
Benchmarking and Resource Analysis for Augmented-Lagrangian Quantum Hamiltonian Descent
Zeguan Wu, Mingze Li, Muqing Zheng +6
Quantum Hamiltonian Descent (QHD) is a continuous optimization algorithm based on simulating a time-dependent quantum Hamiltonian whose potential energy encodes the objective funct…
math.OC2025
Quantum Hamiltonian Descent based Augmented Lagrangian Method for Constrained Nonconvex Nonlinear Optimization
Mingze Li, Lei Fan, Zhu Han
Nonlinear programming (NLP) plays a critical role in domains such as power energy systems, chemical engineering, communication networks, and financial engineering. However, solving…