Related Experiment Video
Updated: Jul 13, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
Numerical validation of the quantum lattice Boltzmann scheme in two and three dimensions
1Dipartimento di Matematica, Università Roma Tre, Largo San Leonardo Murialdo 1, 00146, Roma, Italy.
Abstract:
The multidimensional formulation of the quantum lattice Boltzmann (QLB) scheme is validated against analytical solutions of the time-dependent nonrelativistic Schrödinger equation in two and three spatial dimensions. As a result, we demonstrate the viability of the quantum lattice Boltzmann scheme for the numerical solution of the time-dependent Schrödinger equation in multiple spatial dimensions. In addition, the links between the QLB scheme and sequential splitting methods for partial differential equations are also clarified.
Related Concept Videos
Calculation of First-Law Quantities II
Trends in Lattice Energy: Ion Size and Charge
Lattice Energies of Ionic Crystals
Maxwell-Boltzmann Distribution: Problem Solving
This distribution function f(v) is defined by saying that the expected number N (v1,v2) of particles with speeds between v1 and v2 is given by
Lattice Centering and Coordination Number
Types of Unit Cells
Imagine taking a large number of identical...
Calculation of First Law Quantities I
