Description
Approximate bosonic code that encodes a qubit into a superposition of one or a few squeezed Fock states, some of which are the result of a photon-number resolving measurement [3].
The simplest code encodes a qubit into the same Fock state, but one which is squeezed in opposite directions [1]. Taking the Fock state \(|1\rangle\), the codewords are \begin{align} \begin{split} |\overline{0}\rangle&=S(r)|1\rangle \\ |\overline{1}\rangle&=S(-r)|1\rangle~, \end{split} \tag*{(1)}\end{align} where \(S(\pm r)\) is the squeezing operator with squeezing parameter \(\pm r\).
Protection
The code approximately protects against loss and dephasing errors, becoming exact in the \(r\to\infty\) limit.Cousin
- Squeezed cat 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
The squeezed Fock-state code approximately protects against loss and dephasing errors, becoming exact in the \(r\to\infty\) limit.
Squeezed Fock-state code
Children
Squeezed-vacuum codewords are a special case of squeezed Fock states with Fock state \(\ket{n=0}\).
References
- [1]
- S. B. Korolev, E. N. Bashmakova, and T. Yu. Golubeva, “Error correction using squeezed Fock states”, Quantum Information Processing 23, (2024) arXiv:2312.16000 DOI
- [2]
- E. N. Bashmakova, S. B. Korolev, and T. Yu. Golubeva, “Bosonic quantum error correction using squeezed Fock states”, Physical Review A 112, (2025) arXiv:2506.00300 DOI
- [3]
- S. B. Korolev and T. Yu. Golubeva, “Bosonic error correction codes based on states generated via particle number resolving measurements”, (2025) arXiv:2509.16993
- [4]
- Y. Zeng, F. Quijandría, C. Gneiting, and F. Nori, “Quantum Error Correction with Superpositions of Squeezed Fock States”, (2025) arXiv:2510.04209
Page edit log
- Victor V. Albert (2026-06-08) — most recent
- Victor V. Albert (2023-12-30)
Cite as:
“Squeezed Fock-state code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/squeezed_fock_state, arXiv:2606.11484