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
Quantum optics: the Laurat group [5].Approximately squeezed cat states (“compressed cats”) have been realized in a superconducting circuit device by the Gao group [6] (see also [5]). Dissipative stabilization has been demonstrated by Alice and Bob [7].Cousin
- Squeezed fock-state code— Squeezed Fock-state codes and squeezed cat codes both utilize squeezing to approximately protect against loss errors.
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]
- H. Le Jeannic, A. Cavaillès, K. Huang, R. Filip, and J. Laurat, “Slowing Quantum Decoherence by Squeezing in Phase Space”, Physical Review Letters 120, (2018) arXiv:1707.06244 DOI
- [6]
- 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
- [7]
- R. Rousseau et al., “Enhancing dissipative cat qubit protection by squeezing”, (2025) arXiv:2502.07892
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