Quantum Simulation on Riemannian Manifolds
quant-ph, cs.DS
Submitted: 2026-10-02
Updated: 2026-10-02
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Sources
- Quantum Riemannian Hamiltonian Descent
- A quantum central path algorithm for linear optimization
- Efficient Quantum Optimization via Dynamical Simulation
- Mechanisms for Quantum Advantage in Global Optimization of Nonconvex Functions
- Sampling with Riemannian Hamiltonian Monte Carlo in a Constrained Space
- A Quantum Interior Point Method for LPs and SDPs
- Quantum Hamiltonian Descent
- (Sub)Exponential Quantum Speedup for Optimization
- Quantum Hamiltonian Descent for Non-smooth Optimization
- Encoding Choices and Fault-Tolerant Resource Estimates for Digital Quantum Hamiltonian Descent
- Quantum Optimization via Gradient-Based Hamiltonian Descent
- Hamiltonian Simulation in the Interaction Picture
- A quantum-classical performance separation in nonconvex optimization
- Stochastic Quantum Hamiltonian Descent
- Simulations of Many-Body Quantum Systems by a Quantum Computer
- Benchmarking and Resource Analysis for Augmented-Lagrangian Quantum Hamiltonian Descent
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