Squeezed fock-state code[1]
Description
Approximate boosnic code that encodes a qubit into the same Fock state, but one which is squeezed in opposite directions.
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.
Parents
- Single-mode bosonic code
- Approximate quantum error-correcting code (AQECC) — The squeezed Fock-state code approximately protects against loss and dephasing errors, becoming exact in the \(r\to\infty\) limit.
References
- [1]
- S. B. Korolev, E. N. Bashmakova, and T. Yu. Golubeva, “Error Correction Using Squeezed Fock States”, (2023) arXiv:2312.16000
Page edit log
- Victor V. Albert (2023-12-30) — most recent
Cite as:
“Squeezed fock-state code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/squeezed_fock_state