Felix Givois

"Quantum Computing for material characterization"

During the last decades, the computation power needed for material characterization skyrocketed with the improvement of material tomography imaging. Unfortunately, the needs for accuracy seem to be limited by current classical hardware bottlenecks and especially by space and time complexity of current homogenization algorithms. In order to match the demand in characterization accuracy, the promises of quantum computing could be of a good use. As it theoretically reduces space and time complexity exponentially for problems such as prime number factorization, it could also overcome the limitations of classical hardware for homogenization algorithms. To this extent, the development of a quantum computing based material homogenization algorithm is investigated. The initial work has been to create a hybrid quantum Fourier transform based material homogenization algorithm. It has been done with the main aim of testing and benchmarking current state of the art quantum computers. The efforts are now focused on the porting of the entire homogenization algorithm on quantum computer. However, this porting raises new issues and as main one : how to implement non unitary operations on quantum computers ? My talk will outline the different researches conducted along the PhD as well as the different ideas followed in order to solve the difficulties encountered in the porting.

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