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Stacked codes: Universal fault-tolerant quantum computation in a two-dimensional layout

Stacked codes: Universal fault-tolerant quantum computation in a two-dimensional layout

We introduce a class of 3D color codes, which we call stacked codes, together with a fault-tolerant transformation that will map logical qubits encoded in two-dimensional (2D) color codes into stacked codes and back. The stacked code allows for the transversal implementation of a non-Clifford $\pi/8$ logical gate, which when …