Dimensional Jump in Quantum Error Correction

H. Bombin

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arXiv · 1412.5079

Dimensional Jump in Quantum Error Correction

H. Bombin

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Abstract

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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H. Bombin. 2014-12-16. Dimensional Jump in Quantum Error Correction. https://arxiv.org/abs/1412.5079

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