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Optimization of the surface code design for Majorana-based qubits · Around

2020

Optimization of the surface code design for Majorana-based qubits

Chao, Rui, Beverland, Michael E., Delfosse, Nicolas et al.

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The surface code is a prominent topological error-correcting code exhibiting high fault-tolerance accuracy thresholds.

Conventional schemes for error correction with the surface code place qubits on a planar grid and assume native CNOT gates between the data qubits with nearest-neighbor ancilla qubits.
Here, we present surface code error-correction schemes using $\textit{only}$ Pauli measurements on single qubits and on pairs of nearest-neighbor qubits.
In particular, we provide several qubit layouts that offer favorable trade-offs between qubit overhead, circuit depth and connectivity degree.

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N. Delfosse and J.-P. Tillich, in 2014 IEEE Int. Symp. Info. (IEEE, 2014) pp. 1071–1075, 1401.6975

2014

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Y. Li, Physical Review Letters 117

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