Qubit ZooNote: This entry is a stub duplicate of binomial-codes, which contains the full treatment. This entry was auto-generated by pipeline-v1 and should be consolidated with the canonical entry. See binomial-codes for the complete description, Hamiltonian, experimental status, metrics, and references.
Figure
(No figure — see binomial-codes for the canonical figure.)
Description
Binomial codes encode a logical qubit in weighted superpositions of Fock states of a single bosonic mode (typically a superconducting microwave cavity), with coefficients given by square roots of binomial coefficients. The simplest code protecting against single photon loss uses the code words and . Error detection is performed via photon number parity measurements.
For the full treatment, see binomial-codes.
Motivation
- Hardware-efficient bosonic quantum error correction using a single cavity mode.
- The dominant error channel (photon loss) is detectable via parity measurements.
- Demonstrated beyond break-even error correction lifetime.
Key Metrics
| Metric | Value | Notes | Fidelity reference |
|---|---|---|---|
| Logical error rate | Below break-even | Ofek et al. 2016 | Ofek et al. 2016 |
| Cavity | >1 ms | 3D aluminum cavity | — |
References
Original proposal
- M. H. Michael, M. Silveri, R. T. Brierley, V. V. Albert, J. Salmilehto, L. Jiang, and S. M. Girvin, “New class of quantum error-correcting codes for a bosonic mode,” Phys. Rev. X 6, 031006 (2016) — arXiv:1602.00008
Linked Papers
Related Entries
- binomial-codes — canonical entry (full treatment)
- cat-codes — related bosonic code
- gkp-codes — related bosonic code