8 citations · 13 across the 7 of their papers we have counts for
8 papers
Approximate Quantum Linear Solvers for Hybrid CFD: End-to-End Analysis with a Chebyshev-LCU Approach
Tomer Goldfriend, Leigh Lapworth, Nadav Yoran +1
Quantum linear solvers are well studied as standalone quantum algorithms; however, in hybrid classical-quantum routines, their practical value must be evaluated at the level of the…
Quantum compilation framework for data loading
Guillermo Alonso-Linaje, Utkarsh Azad, Jay Soni +3
Efficient encoding of classical data into quantum circuits is a critical challenge that directly impacts the scalability of quantum algorithms. In this work, we present an automate…
Preconditioned Block Encodings for Quantum Linear Systems
Leigh Lapworth, Christoph Sünderhauf
Quantum linear system solvers like the Quantum Singular Value Transformation (QSVT) require a block encoding of the system matrix within a unitary operator . Unfortunately…
Measurement Schemes for Quantum Linear Equation Solvers
Andrew Patterson, Leigh Lapworth
Solving Computational Fluid Dynamics (CFD) problems requires the inversion of a linear system of equations, which can be done using a quantum algorithm for matrix inversion arxiv:1…
Evaluation of block encoding for sparse matrix inversion using QSVT
Leigh Lapworth
Three block encoding methods are evaluated for solving linear systems of equations using QSVT (Quantum Singular Value Transformation). These are ARCSIN, FABLE and PREPARE-SELECT. T…
L-QLES: Sparse Laplacian generator for evaluating Quantum Linear Equation Solvers
Leigh Lapworth
L-QLES is an open source python code for generating 1D, 2D and 3D Laplacian operators and associated Poisson equations and their classical solutions. Its goal is to provide quantum…
Implicit Hybrid Quantum-Classical CFD Calculations using the HHL Algorithm
Leigh Lapworth
Implicit methods are attractive for hybrid quantum-classical CFD solvers as the flow equations are combined into a single coupled matrix that is solved on the quantum device, leavi…
A Hybrid Quantum-Classical CFD Methodology with Benchmark HHL Solutions
Leigh Lapworth
There has been significant progress in the development of quantum algorithms for solving linear systems of equations with a growing body of applications to Computational Fluid Dyna…