A little bit of self-correction
Abstract
We investigate the emergence of stable subspaces in the low-temperature quantum thermal dynamics of finite spin chains. Our analysis reveals the existence of effective decoherence-free qudit subspaces, persisting for timescales exponential in . Surprisingly, the appearance of metastable subspaces is not directly related to the entanglement structure of the ground state(s). Rather, they arise from symmetry relations in low-lying excited states. Despite their stability within a 'phase', practical realization of stable qubits is hindered by susceptibility to symmetry-breaking perturbations. This work highlights that there can be non-trivial quantum behavior in the thermal dynamics of noncommuting many body models, and opens the door to more extensive studies of self-correction in such systems.
Keywords
Cite
@article{arxiv.2408.14970,
title = {A little bit of self-correction},
author = {Michael J. Kastoryano and Lasse B. Kristensen and Chi-Fang Chen and András Gilyén},
journal= {arXiv preprint arXiv:2408.14970},
year = {2025}
}