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.Realizations
Squeezed cat code has been realized in a superconducting circuit device by the Gao group [5].Cousin
- Squeezed fock-state code— Squeezed Fock-state codes and squeezed cat codes both utilize squeezing to approximately protect against loss errors.
Member of code lists
Primary Hierarchy
Parents
Squeezing of coherent states allows for approximate protection against a single photon loss.
Squeezing of coherent states allows for approximate protection against a single photon loss.
Squeezed cat code
Children
The squeezed cat code reduces to the two-component cat code when there is no squeezing.
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, G. Zheng, Y.-X. Wang, P. Zoller, A. A. Clerk, and L. Jiang, “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, M. Simoni, E. Zapusek, F. Reiter, and J. Home, “Stabilization of cat-state manifolds using nonlinear reservoir engineering”, (2024) arXiv:2407.18087
- [5]
- X. Pan, J. Schwinger, N.-N. Huang, P. Song, W. Chua, F. Hanamura, A. Joshi, F. Valadares, R. Filip, and Y. Y. Gao, “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