3 papers
physics.flu-dyn2025
Matrix Product State Simulation of Reacting Shear Flows
Robert Pinkston, Nikita Gourianov, Hirad Alipanah +3
Direct numerical simulation (DNS) of turbulent reactive flows has been the subject of significant research interest for several decades. Accurate prediction of the effects of turbu…
quant-ph2025
Provably Efficient Quantum Algorithms for Solving Nonlinear Differential Equations Using Multiple Bosonic Modes Coupled with Qubits
Yu Gan, Hirad Alipanah, Jinglei Cheng +7
Quantum computers have long been expected to efficiently solve complex classical differential equations. Most digital, fault-tolerant approaches use Carleman linearization to map n…
quant-ph2025
Quantum Dynamics Simulation of the Advection-Diffusion Equation
Hirad Alipanah, Feng Zhang, Yongxin Yao +6
The advection-diffusion equation is simulated on a superconducting quantum computer via several quantum algorithms. Three formulations are considered: (1) Trotterization, (2) varia…