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Energy Landscape of 3D Spin Hamiltonians with Topological Order

Energy Landscape of 3D Spin Hamiltonians with Topological Order

We explore the 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. To this end we characterize the energy landscape of stabilizer code Hamiltonians with local bounded-strength interactions which have a …