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How many quantum gates do gauge theories require?

31 Jul 2023, 13:30
20m
Comitium (WH2SE)

Comitium

WH2SE

Speaker

Edison Murairi (The George Washington University)

Description

We discuss implementations of lattice gauge theories on digital quantum computers. In particular, we investigate the number of gates required to simulate the time time evolution. Using state-of-the art methods with our own augmentation, we find that the cost of simulating a single time step evolution of an elementary plaquette is prohibitive in the current era of quantum hardware. Moreover, we observe that such a cost is highly sensitive to the scheme adopted in deriving lattice gauge theories Hamiltonians, emphasizing the need for low-dimensional formulations of lattice gauge theories in the same universality class as the desired continuum theories.

Topical area Quantum Computing and Quantum Information

Primary author

Edison Murairi (The George Washington University)

Co-authors

Andrei Alexandru (George Washington University, University of Maryland) Paulo Bedaque (University of Maryland) Michael Cervia Mr Hersh Kumar (University of Maryland College Park)

Presentation materials