Abstract：To develop the lightning physics and the new lightning protection theory and technology, inversion of thunderstorm charged model was done based on E-field data at the ground level, which is a practical way to study the thunderstorm charged structure. Traditional inversion methods always fail, for actual thunderstorm charged structure is extraordinarily complex and objective functions are strongly non-linear. To solve this problem, quantum inversion methods were tried. We summed up and analyzed the quantum genetic algorithm(QGA), quantum annealing algorithm (QA) and quantum particle swarm optimization (QPSO) which were developed fast in these last few years. Inversion model was established based on charged disk thunderstorm model introduced by Amoruso and Lattarulo, and then a theoretic model was inversed by three kinds of improved quantum inversion methods. The results show that improved QA adapts to this model best and convergent velocity of QGA is the fastest. A group of E-field data at ground level was used to invert for three-layer, four-layer and five-layer models by improved QGA. The results show that inversion result with actual data strongly depends on the model structure.
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