Hi all,
Tomorrow Ivan Ferrer will tell us about his master thesis "Variational Quantum Time Evolution Implementation of the Fermi-Hubbard Model". See below for the abstract. The talk will take place at 2pm in HIT E 41.1
Best, Ladina
Title: Variational Quantum Time Evolution Implementation of the Fermi-Hubbard Model
Abstract: The exponential computational complexity of dynamic quantum many-body system simulations calls for advanced techniques. Quantum computing can help to enable efficient realizations of this problem. In this work, we study the implementation of the Variational Quantum Time Evolution (VarQTE) to solve the Fermi-Hubbard model, one that is core in the understanding of systems of strongly-correlated fermions. VarQTE assumes a parameterized quantum circuit as an ansatz, and allows the study of the dynamics of the target model as the time evolution of its parameters.
We provide a critical analysis of this method and its advantages as well as disadvantages with respect to the other time evolution techniques such as Trotter-based formulations. In addition, we discuss the properties that a parameterized circuit must meet to constitute a valid support for VarQTE evolution. By putting forward promising candidates of ansätze that are expressive and suitable for the considered physical processes, we set the stage for utilizing VarQTE to simulate the Fermi-Hubbard model on quantum computers.