18.06.2024 / 13:00 - 14:00 / Zeuthen, Seminar room 4

CQTA Seminar

Variational Quantum Algorithms for State Preparation and Dynamics Simulations of Many-Body Models

Peter Orth (Universiät des Saarlandes)

Abstract: We discuss variational quantum algorithms for the simulation of many-body models at zero and finite temperature. At zero temperature, we discuss a hybrid quantum-classical Krylov subspace expansion method that allows to balance the required quantum and classical resource costs. At finite temperature, we discuss algorithms that combine classical sampling techniques with state preparation on quantum hardware. These algorithms work with shallow quantum circuits at an increased classical sampling cost. We discuss how the execution of these algorithms on noisy simulators and hardware benefits from quantum error mitigation methods such as probabilistic error reduction and postselection. Finally, we present hybrid quantum-classical algorithms for the simulation of quantum quench dynamics, starting from the ground or a thermal state. We describe how classical sampling can avoid thermal state preparation on quantum hardware and estimate the associated costs. We show applications of these algorithms to mixed field Ising models.

Mehr Informationen: https://quantum-zeuthen.desy.de/seminar/index_eng.html