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We explore feasibility of a quantum self-correcting memory based on 3D spin Hamiltonians with topological quantum order in which thermal diffusion of topological defects is suppressed by macroscopic energy barriers.
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One should not confuse point-like defects in TQO models whose creation requires constant energy and vortex-type topological excitations in classical spin systems whose creation requires divergent energy for a single isolated vertex
Cited in the paper.
This is always the case for independent generators G a G_{a} . Since our goal is to obtain a lower bound on the energy barrier, we can assume that the generators are independent, although it does not play any role in our analysis
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