Description
Two-component cat code whose two coherent states have been squeezed in a direction perpendicular to the segment formed by the two coherent state values \(\pm\alpha\).
Protection
Squeezing of coherent states allows for approximate protection against a single photon loss.
Encoding
Realizations
Squeezed cat code has been realized in a superconducting circuit device by the Gao group [5].
Parents
- Single-mode bosonic code
- Amplitude-damping (AD) code — Squeezing of coherent states allows for approximate protection against a single photon loss.
- Approximate quantum error-correcting code (AQECC) — Squeezing of coherent states allows for approximate protection against a single photon loss.
Child
- Two-component cat code — The squeezed cat code reduces to the two-component cat code when there is no squeezing.
Cousin
- Squeezed fock-state code — Squeezed Fock-state codes and squeezed cat codes both utilize squeezing to approximately protect against loss errors.
References
- [1]
- D. S. Schlegel, F. Minganti, and V. Savona, “Quantum error correction using squeezed Schrödinger cat states”, Physical Review A 106, (2022) arXiv:2201.02570 DOI
- [2]
- Q. Xu et al., “Autonomous quantum error correction and fault-tolerant quantum computation with squeezed cat qubits”, (2022) arXiv:2210.13406
- [3]
- T. Hillmann and F. Quijandría, “Quantum error correction with dissipatively stabilized squeezed-cat qubits”, Physical Review A 107, (2023) arXiv:2210.13359 DOI
- [4]
- I. Rojkov et al., “Stabilization of cat-state manifolds using nonlinear reservoir engineering”, (2024) arXiv:2407.18087
- [5]
- X. Pan et al., “Protecting the quantum interference of cat states by phase-space compression”, (2022) arXiv:2212.01271
Page edit log
- Victor V. Albert (2024-08-15) — most recent
Cite as:
“Squeezed cat code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/squeezed_cat