Qubit ZooIntroduces binomial quantum codes: a family of bosonic error-correcting codes with compact support in Fock space, designed to correct errors from photon loss, gain, and dephasing up to a given order. Simpler to prepare than GKP states while offering comparable protection for small codes.
Key Results
- Code words are superpositions of binomial-coefficient-weighted Fock states
- Smallest code corrects single photon loss: |0_L⟩ = (|0⟩+|4⟩)/√2, |1_L⟩ = |2⟩
- Corrects t photon loss errors using ≤ 2t+1 photons
- Experimentally demonstrated in superconducting cavities
Links
- Journal: Physical Review X
- arXiv: 1602.00008