2024/05/15 by Carter Ball, Ball, Carter, Thomas D. Cohen +1 · 1 citation
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Atomic and Subatomic Physics Research #Electron Spin Resonance Studies #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Nuclear Theory (nucl-th) #Quantum Physics (quant-ph) #Quantum optics and atomic interactions
paper · pdf · doi:10.48550/arxiv.2405.09462
openalex publication_date 2024/05/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
Quantum simulation of lattice gauge theories is a promising tool for the study of many complicated problems including ones with real-time dynamics. For gauge theories, however, there is a major challenge in maintaining gauge invariance during time evolution. Such theories have a full Hilbert space that is larger than the physical space -- the set of states which are gauge invariant or equivalently respect the Gauss law. While an exact implementation of Hamiltonian dynamics starting in the physical Hilbert space will keep the system in the physical space, various types of errors will inevitably produce components outside of it. This work proposes a method of suppressing this gauge drift via the Zeno effect. As in the standard picture of the Zeno effect, our method relies on frequent projection onto the physical subspace. Additionally, a technique is discussed to reduce the speed of the gauge drift, which helps to reduce the required frequency of projections. We demonstrate our method on a ℤ2 gauge theory toy model.