Proposes the cat code paradigm: encoding a qubit in coherent state superpositions of a harmonic oscillator, stabilized by engineered two-photon dissipation. Shows that bit-flip errors are exponentially suppressed with cat size while phase-flip errors grow only polynomially, creating a strongly biased noise channel exploitable by concatenated codes.
Key Results
- Qubit states: |±α⟩ (even/odd cat states)
- Bit-flip suppression: exponential in |α|²
- Phase-flip rate: linear in |α|² (κ_1)
- Universal gate set via concatenation with repetition code
Links
- Journal: New Journal of Physics
- arXiv: 1312.2017