Perturbatively Stable Self-Correcting Classical Memory from Gauge Averaging
Source: Originally published on arXiv quant-ph on July 24, 2026.
arXiv:2607.20605v1 Announce Type: new Abstract: We show that the self-correcting memory in 3d Wegner gauge theory is stable to arbitrary small enough perturbations of the Hamiltonian. Our proof relies on a new method we dub ``gauge averaging'', which gives conditions under which explicitly broken gauge symmetries are effectively restored by fluctuations. These conditions show that the self-correcting memory phase is fluctuation stabilized, with its robustness to perturbations increasing with increasing temperature, up to some $T_c > 0$....
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