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A physical realization of self correcting quantum code would be profoundlyuseful for constructing a quantum computer. In this theoretical work, weprovide a partial solution to major challenges preventing self correctingquantum code from being engineered in realistic devices. We consider a variantof Kitaev's toric code coupled to propagating bosons, which induce along-ranged interaction between anyonic defects. By coupling the primaryquantum system to an engineered dissipation source through resonant energytransfer, we demonstrate a "rate barrier" which leads to a potentially enormousincrease in the system's quantum state lifetime through purely passive quantumerror correction, even when coupled to an infinite temperature bath. While ourmechanism is not scalable to infinitely large systems, the maximum effectivesize can be very large, and it is fully compatible with active error correctionschemes. Our model uses only on-site and nearest-neighbor interactions, andcould be implemented in superconducting qubits. We sketch one suchimplementation at the end of this work.

Passive correction of quantum logical errors in a driven, dissipative system: a blueprint for an analog quantum code fabric