Quantum Algorithm for Solving the Wave Equation on a Hexagonal Grid

Numerical methods based on finite differences for solving the wave equation are prone to various errors, a challenge that also applies to the semi-discrete case of a recently proposed quantum algorithm that preserves continuous time while discretizing space into a quantum state vector. The inherent...

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Veröffentlicht in:	IEEE access 2024, Vol.12, p.131009-131022
1. Verfasser:	Novak, Roman
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Anisotropy Approximation Boundary conditions Dispersion Electromagnetic radiation Electromagnetics Error analysis Finite difference methods Finite difference time domain method Hamiltonian functions hexagonal lattices Laplace equations Laplace transforms Mathematical analysis Mathematical models numerical dispersion Numerical methods numerical modeling Operators (mathematics) Propagation Quantum algorithm quantum algorithms Qubits (quantum computing) radio wave propagation Solvers State vectors time domain analysis Wave dispersion Wave equations Wave propagation
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