In this internship, the student will design and implement a quantum algorithm for simulating strongly correlated materials on a fault-tolerant quantum computer. Strongly correlated quantum systems are widely regarded as one of the most promising candidates for the early practical applications of fault-tolerant quantum computing, due to their complexity and relevance to condensed matter physics and material science. The primary objective of the internship is to develop and test a quantum algorithm based on Quantum Singular Value Transformation [1], an advanced technique particularly well-suited for reducing circuit depth in Hamiltonian simulations. The student will explore how QSVT can be applied to efficiently compute the Green’s function of the Anderson impurity model, a fundamental problem at the heart of strongly correlated electron systems.