Quantum computing and preconditioners for hydrological linear systems

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SUMMARY

    Both quantum and classical linear systems algorithms generally perform worse on systems with large condition numbers. Classical methods to reduce the condition number, known as preconditioners, have been successfully developed and tailored specifically for fracture systems, the most prominent example being multigrid ­preconditioners7. To use quantum computers to solve large linear systems for fracture networks of relevance and outpace classical techniques, an effective quantum preconditioning algorithm for fracture networks must be developed. The authors show that existing techniques to reduce the condition number either do not have quantum implementations or are not well-suited . . .

     

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