7 citations · 8 across the 5 of their papers we have counts for
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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…
Arbitrary Boundary Conditions and Constraints in Quantum Algorithms for Differential Equations via Penalty Projections
Philipp Schleich, Tyler Kharazi, Xiangyu Li +3
Complicated boundary conditions are essential to accurately describe phenomena arising in nature and engineering. Recently, the investigation of a potential speedup through quantum…
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…
An efficient quantum algorithm for generation of ab initio n-th order susceptibilities for non-linear spectroscopies
Tyler Kharazi, Torin F. Stetina, Liwen Ko +2
We develop and analyze a fault-tolerant quantum algorithm for computing -th order response properties necessary for analysis of non-linear spectroscopies of molecular and conden…