\([[6,2,3,2]]\) BBS code[1]
Description
Error-detecting six-qubit BBS code that can suppress errors in adiabatic quantum computation [2]. See Ref. [2] for its gauge generators.
Gates
Certain two-qubit logical operations are two-local [2].
Parent
- Trapezoid subsystem code — The even-logical-qubit trapezoid family at \(l=k=1\) reduces to the \([[6,2,3,2]]\) BBS code.
Cousin
- \([[4,1,1,2]]\) Four-qubit subsystem code — Both the \([[6,2,3,2]]\) BBS code and the four-qubit subsystem code can be used to suppress errors in adiabatic quantum computation [2].
References
- [1]
- S. Bravyi, “Subsystem codes with spatially local generators”, Physical Review A 83, (2011) arXiv:1008.1029 DOI
- [2]
- Z. Jiang and E. G. Rieffel, “Non-commuting two-local Hamiltonians for quantum error suppression”, Quantum Information Processing 16, (2017) arXiv:1511.01997 DOI
Page edit log
- Victor V. Albert (2024-12-13) — most recent
Cite as:
“\([[6,2,3,2]]\) BBS code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/bravyi_bacon_shor_6