Finite-dimensional quantum error-correcting code encoding a logical Hilbert space into a physical Fock space of fermionic modes. Codes are typically described using Majorana operators, which are linear combinations of fermionic creation and annihilation operators .
- Qubit code — While the Majorana operator algebra is isomorphic to the qubit Pauli-operator algebra via the Jordan-Wigner transformation , codes based on the two algebras have different notions of locality and thus qualitatively different physical interpretations.
- Bosonic code — Bosonic (fermionic) codes are associated with bosonic (fermionic) degrees of freedom.
Zoo code information
“Fermionic code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/fermions