Exact strong zero modes in quantum circuits and spin chains with non-diagonal boundary conditions
Abstract
We construct exact strong zero mode operators (ESZM) in integrable quantum circuits and the spin-1/2 XXZ chain for general open boundary conditions, which break the bulk U(1) symmetry of the time evolution operators. We show that the ESZM is localized around one of the boundaries and induces infinite boundary coherence times. Finally we prove that the ESZM becomes spatially non-local under the map that relates the spin-1/2 XXZ chain to the asymmetric simple exclusion process, which suggests that it does not play a significant role in the dynamics of the latter.
Fields of Study & Subjects
Quantum many-body systems
Topological Materials and Phenomena
Quantum Computing Algorithms and Architecture
Publication details
- Journal / source
- SciPost Physics
- Publisher
- Stichting SciPost
- Volume
- 20
- Issue
- 5
- Publication date
- 21 May 2026
- Language
- EN