量子コンピューティングによる数値計算

～Phase-field方程式・ポアソン方程式・トポロジー最適化～

抄録

Applications of quantum computing to numerical simulation are reviewed. The first example is a phase field equation implemented in the Ising Hamiltonian and computed by a digital annealing machine. Second and third examples are the use of variational quantum algorithms running on a universal quantum computer to solve Poisson's equation and the topology optimization problem. The last example is an efficient evaluation method of the quantum expectation value, which is suitable for an observable with narrow bandwidth, which often appears in the application of numerical simulation.