\([[6r,2r,2]]\) Ganti-Onunkwo-Young code[1]
Description
A member of the family of \([[6r,2r,2]]\) CSS codes designed to suppress errors in adiabatic quantum computation. All but two of its stabilizer generators are weight-two (two-body), and the remaining two are weight-\(4k\).
Gates
The code supports weight-two logical operators and maintains a planar connectivity graph with only a small increase in graph degree.
Parents
Child
- \([[6,2,2]]\) \(C_6\) code — The Ganti-Onunkwo-Young code for \(r=1\) is the \(C_6\) code.
Cousin
- Trapezoid subsystem code — The even-logical-qubit trapezoid family at \(l=k\) is a subsystem version of the Ganti-Onunkwo-Young code [2].
References
- [1]
- A. Ganti, U. Onunkwo, and K. Young, “Family of[[6k,2k,2]]codes for practical and scalable adiabatic quantum computation”, Physical Review A 89, (2014) arXiv:1309.1674 DOI
- [2]
- M. Marvian and S. Lloyd, “Robust universal Hamiltonian quantum computing using two-body interactions”, (2019) arXiv:1911.01354
Page edit log
- Victor V. Albert (2024-12-13) — most recent
Cite as:
“\([[6r,2r,2]]\) Ganti-Onunkwo-Young code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/goy