The 38th International Symposium on Lattice Field Theory

C4: Algorithms for quantum state preparation in the Schwinger Model

28 Jul 2021, 08:00

1h

Poster Algorithms (including Machine Learning, Quantum Computing, Tensor Networks) Poster

Speaker

Giovanni Pederiva (Facility for Rare Isotope Beams, Michigan State University)

Description

An important aspect to consider in practical applications of quantum computing
is the computational cost of a quantum state preparation. Quantum adiabatic evolution is a possible technique based on the slow time evolution of the Hamiltonian from a simple one to the target one. A different approach is the so-called Rodeo algorithm, where stochastically, and in a recursive manner, all states outside a given energy interval are removed.
We discretize the Schwinger model Hamiltonian with a $\theta$ term, using staggered fermions, and compare the convergence properties of the two algorithms. We also study the impact of increasing the step-size in the Trotter evolution, to assess the feasibility of these type of calculations on a real quantum device.

Presentation materials

pederiva-poster-lattice-38.pdf