2 papers
quant-ph2026
Quantum algorithm for differential equations via permutation matrix representation with application to the Burgers equation
Hriday Sabharwal, Amir Kalev, Itay Hen
We develop a quantum algorithm for solving the dynamics of the nonlinear viscous Burgers equation. We apply the Carleman linearization procedure on the spatially discretized equati…
quant-ph2026
Permutation Matrix Representation for Quantum Simulation: Comparative Resource Analysis
Hriday Sabharwal, Itay Hen
We present a comparative study of the permutation matrix representation (PMR) method for Hamiltonian simulation alongside other leading quantum algorithms. Our analysis focuses on…