A Quantum Lattice Boltzmann Algorithm For Simulating Heat Transfer With Phase Change

Accurate solutions of heat transfer problems require large amounts of computational resources even employing simplifying assumptions. One promising new avenue to drastically accelerate numerical solutions is the use of quantum computing, which promises to speed up these computations exponentially. Here, we develop the quantum lattice-Boltzmann method (QLBM) to solve the unsteady heat transfer equations with phase change. To solve these nonlinear equations, we use a strategy where the temperature readings are delayed allowing a significant reduction in the number of reinitializations of the quantum circuit. We show that the delayed measurements can be performed without a meaningful impact on the overall solution accuracy. The quantum algorithm is validated by comparison with an LBM solution and an analytical solution.