Speaker
Michael Cervia
Description
Simulations of bosonic field theories on quantum computers demand a truncation in field space to “fit” the theory onto limited quantum registers. We examine two different truncations preserving the same symmetries as the 1+1-dimensional $O(3)$ non-linear $\sigma$-model - one truncating the Hilbert space of functions on the unit sphere by setting an angular momentum cutoff and a fuzzy sphere truncation inspired by non-commutative geometry. We find evidence that the angular-momentum truncation fails to reproduce behavior of the $\sigma$-model, while the anti-ferromagnetic fuzzy model agrees with the full theory. These lessons will inform how we qubitize lattice gauge theories.
| Topical area | Quantum Computing and Quantum Information |
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Primary author
Co-authors
Andrei Alexandru
(George Washington University, University of Maryland)
Paulo Bedaque
(University of Maryland)
Andrea Carosso
(University of Colorado, Boulder)
Edison Murairi
(The George Washington University)
Andy Sheng
(University of Maryland College Park)