7 citations · 8 across the 4 of their papers we have counts for
4 papers
Provable Quantum Speedups for Reaction-Rate Estimation in High-Dimensional Fokker-Planck Dynamics
Tyler Kharazi, Ahmad M. Alkadri, Kranthi K. Mandadapu +1
The Fokker-Planck equation models rare events across sciences, but blue{direct solution of the PDE is intractable for classical computers due to } its high-dimensional nature. Clas…
A Quantum Algorithm for the Finite Element Method
Ahmad M. Alkadri, Tyler D. Kharazi, K. Birgitta Whaley +1
The finite element method (FEM) is a cornerstone numerical technique for solving partial differential equations (PDEs). Here, we present , a fault-tolerant era qua…
The irreversible thermodynamics of curved lipid membranes II: Permeability and osmosis
Ahmad M. Alkadri, Kranthi K. Mandadapu
We present a theory that combines the framework of irreversible thermodynamics with modified integral theorems to model arbitrarily curved and deforming membranes immersed in bulk…
Explicit block encodings of boundary value problems for many-body elliptic operators
Tyler Kharazi, Ahmad M. Alkadri, Jin-Peng Liu +2
Simulation of physical systems is one of the most promising use cases of future digital quantum computers. In this work we systematically analyze the quantum circuit complexities o…