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Dimensional Jump in Quantum Error Correction

2014/12/31 by H. Bombin · 1 citation
Physics and Astronomy · #quant-ph

paper · pdf

published as New Journal of Physics 18, 4, 043038 (2016) · As accepted in journal: 10 pages, 3 figures

arxiv created 2016/05/12 · arxiv updated 2016/05/13

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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