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This research establishes the perturbative stability of self-correcting memory in 3D Wegner gauge theory using a novel "gauge averaging" technique. The findings demonstrate that fluctuation stabilization can enhance robustness against small Hamiltonian perturbations up to a finite critical temperature, offering theoretical insights into fault-tolerant quantum architectures.

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Perturbatively Stable Self-Correcting Classical Memory from Gauge Averaging

arXivJuly 24, 20261 min read

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 $T_c > 0$.

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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Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech); Strongly Correlated Electrons (cond-mat.str-el); High Energy Physics - Phenomenology (hep-ph); Mathematical Physics (math-ph)

arXiv:2607.20605 [quant-ph]

(or arXiv:2607.20605v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2607.20605 arXiv-issued DOI via DataCite (pending registration)

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