Jülich Quantum Computing Seminar: Evaluation of the Green’s Function on a minimal quantum computer - Gino Bishop, PGI-12

Online Talk

The "Jülich Quantum Computing Seminar" will take place every three weeks on Tuesdays at 14:00 CET via video conference and is intended to promote cooperation between the working groups conducting research in the field of quantum computing and quantum information at various institutes at Forschungszentrum Jülich.

Access details:

Zoom Link: https://us02web.zoom.us/j/81314526642?pwd=YTFXVDBnQUxibVlxUnZjbEJwbGpSQT09

Meeting ID: 813 1452 6642
Passcode: 01

Evaluation of the Green’s Function on a minimal quantum computer

Abstract: 

In the framework of strongly correlated fermion systems one of the goals of a quantum subroutine is to find single-particle correlation functions of lattice fermions. Previous works often require an implementation of controlled unitaries specifying the full dynamics of the simulated model.

In this work, we propose a new quantum algorithm, which uses an analog of the Kubo linear response theory adapted to a quantum circuit simulating the Fermi-Hubbard model and showcase its superiority on a toy model. We further present a route on how the evaluated Green’s function can be used to discover the full phase space of a correlated material on a minimal quantum computer.