Quantum-computing ideas are applied to the practical and ubiquitous problem of fluid dynamics simulation. Hence, this paper addresses two separate areas of physics: quantum mechanics and fluid dynamics (or specifically, the computational simulation of fluid dynamics). The quantum algorithm is called a quantum lattice gas. An analytical treatment of the microscopic quantum lattice-gas system is carried out to predict its behavior at the mesoscopic scale. At the mesoscopic scale, a lattice Boltzmann equation with a nonlocal collision term that depends on the entire system wave function, governs the dynamical system. Numerical results obtained from an exact simulation of a one-dimensional quantum lattice model are included to illustrate the formalism. A symbolic mathematical method is used to implement the quantum mechanical model on a conventional work- station The numerical simulation indicates that classical viscous damping is not present in the one-dimensional quantum lattice-gas system.
This paper investigates the potential of quantum-enhanced lattice-based simulations to revolutionize the modeling of fluid dynamics. Traditional lattice methods, while widely adopted, suffer from limitations in accuracy and computational speed, particularly when dealing with complex flow scenarios. We propose a novel approach that integrates quantum-enhanced calculations into the lattice framework, aiming to overcome these limitations and achieve unprecedented levels of fidelity in simulating fluid behavior. The core claim is that this integration will dramatically improve the accuracy and speed of fluid dynamics simulations, offering a significant advancement over existing techniques. This work explores the theoretical and initial experimental groundwork for this transformative paradigm shift.
We present a quantum lattice-gas model for a quantum computer operating with continual wavefunction collapse; entanglement of the wavefunction occurs locally over small spatial regions between nearby qubits for only a short time period. The quantum lattice-gas is a noiseless method that directly models the lattice-gas particle dynamics at the mesoscopic scale. The system behaves like a viscous Navier–Stokes fluid. Numerical simulations indicate the viscosity of the quantum lattice-gas fluid is lower than its classical lattice-gas counterpart's.