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2014

Dimensional Jump in Quantum Error Correction

Bombin, H.

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Topological stabilizer codes with different spatial dimensions have complementary properties.

Here I show that the spatial dimension can be switched using gauge fixing.
Combining 2D and 3D gauge color codes in a 3D qubit lattice, fault-tolerant quantum computation can be achieved with constant time overhead on the number of logical gates, up to efficient global classical computation, using only local quantum operations.
Single-shot error correction plays a crucial role.

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