Yoked surface code[1]
Description
Member of a family of \([[n,k,d]]\) qubit CSS codes resulting from a concatenation of a QMDPC code with a rotated surface code. Concatenation does not impose additional connectivity constraints and can triple the number of logical qubits per physical qubit when compared to the original surface code. Concatenation with 1D (2D) QMDPC yields codes with twice (four times) the distance. Using the concatenation convention of the Zoo, the stabilizer generators of the inner QMDPC code are referred to as yokes in this context; the cited paper [1] uses the opposite inner/outer terminology.Decoding
Soft information from the outer surface codes can be utilized via a message passing algorithm [2].Yokes can be measured using lattice surgery [1].Cousins
- Quantum multi-dimensional parity-check (QMDPC) code— Yoked surface codes are concatenations of QMDPC codes with rotated surface codes.
- Rotated surface code— Yoked surface codes are concatenations of QMDPC codes with rotated surface codes.
Primary Hierarchy
Parents
Using the concatenation convention of the Zoo, a yoked surface code is a concatenation of a QMDPC code (inner code) with a rotated surface code (outer code). The cited paper [1] uses the opposite inner/outer terminology.
Yoked surface code
References
- [1]
- C. Gidney, M. Newman, P. Brooks, and C. Jones, “Yoked surface codes”, (2023) arXiv:2312.04522
- [2]
- D. Poulin, “Optimal and efficient decoding of concatenated quantum block codes”, Physical Review A 74, (2006) arXiv:quant-ph/0606126 DOI
Page edit log
- Victor V. Albert (2023-12-08) — most recent
Cite as:
“Yoked surface code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/yoked_surface