title: 3D topological quantum memory with a power-law energy barrier.
abstract: We discuss energy barriers and their relationship to self-correcting quantum memories. We introduce the solid code, a 3D version of Kitaev's surface code, and then combine several solid codes using a technique called welding. The resulting code is a [[O(L³),1,O(L(4/3))]] stabilizer code with an energy barrier of O(L(2/3)), which is an exponential improvement over the previous highest energy barrier in 3D. No-go results are avoided by breaking microscopic translation invariance.
authors.affiliation: Department of Physics, University of Washington, Seattle, Washington 98198-1560, USA.
authors.forename: Kamil P
authors.initials: KP
authors.lastname: Michnicki