A little bit of self-correction

Kastoryano, Michael J. and Kristensen, Lasse B. and Chen, Chi-Fang and Gilyén, András Pál (2025) A little bit of self-correction. QUANTUM, 9. No. -1820. ISSN 2521-327X

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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 β . 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.

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