The authors present an ancilla-free quantum lattice Boltzmann method with a unitary linear collision model and classical shot-based macroscopic variable extraction, but the multi-loop version suffers from exponentially decaying post-selection success.
John, Quantum Computing in the NISQ era and beyond
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Improved Quantum Lattice Boltzmann Method for Advection-Diffusion Equations with a Linear Collision Model
The authors present an ancilla-free quantum lattice Boltzmann method with a unitary linear collision model and classical shot-based macroscopic variable extraction, but the multi-loop version suffers from exponentially decaying post-selection success.