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 as much as 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. The stabilizer generators of the outer QMDPC code are referred to as yokes in this context.
Decoding
Soft information from the inner surface codes can be utilized via a message passing algorithm [2].Yokes can be measured using lattice surgery [1].
Parents
- Qubit CSS code
- Quantum low-density parity-check (QLDPC) code
- Concatenated qubit code — A yoked surface code is a concatenation of a QMDPC code (outer code) with a rotated surface code (inner code).
Children
- 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.
References
- [1]
- C. Gidney et al., “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