Compare Papers
Paper 1
Stacked codes: universal fault-tolerant quantum computation in a two-dimensional layout
Tomas Jochym-O'Connor, Stephen D. Bartlett
- Year
- 2015
- Journal
- arXiv preprint
- DOI
- arXiv:1509.04255
- arXiv
- 1509.04255
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 $π/8$ logical gate, which when combined with the logical Clifford gates that are transversal in the 2D color code give a gate set which is both fault-tolerant and universal without requiring nonstabilizer magic states. We then show that the layers forming the stacked code can be unfolded and arranged in a 2D layout. As only Clifford gates can be implemented transversally for 2D topological stabilizer codes, a non-local operation must be incorporated in order to allow for this transversal application of a non-Clifford gate. Our code achieves this operation through the transformation from a 2D color code to the unfolded stacked code induced by measuring only geometrically local stabilizers and gauge operators within the bulk of 2D color codes together with a nonlocal operator that has support on a one-dimensional boundary between such 2D codes. We believe that this proposed method to implement the non-local operation is a realistic one for 2D stabilizer layouts and would be beneficial in avoiding the large overheads caused by magic state distillation.
Open paperPaper 2
Clustered error correction of codeword-stabilized quantum codes.
Li Y, Dumer I, Pryadko LP.
- Year
- 2010
- Journal
- Phys Rev Lett
- DOI
- 10.1103/physrevlett.104.190501
- arXiv
- -
No abstract.
Open paper