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Oscillator-into-oscillator code[1,2]

Description

Encodes \(k\) bosonic modes into \(n\) bosonic modes.

Cousin

  • Tiger code— In general tiger codes, encodings of logical qubits, qudits, modes, and rotors are all possible.

Member of code lists

Primary Hierarchy

Quantum Domain
Bosonic Kingdom
Bosonic codeQECC Quantum
Parents
Bosonic code
Oscillator-into-oscillator codes are bosonic codes with an infinite-dimensional logical subspace.
Oscillator-into-oscillator code
Children
Analog stabilizer code
Oscillator-into-oscillator GKP code

References

[1]
S. Lloyd and J.-J. E. Slotine, “Analog Quantum Error Correction”, Physical Review Letters 80, 4088 (1998) arXiv:quant-ph/9711021 DOI
[2]
S. L. Braunstein, “Error Correction for Continuous Quantum Variables”, Physical Review Letters 80, 4084 (1998) arXiv:quant-ph/9711049 DOI
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Zoo Code ID: oscillators_into_oscillators

Cite as:
“Oscillator-into-oscillator code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/oscillators_into_oscillators, arXiv:2606.11484
BibTeX:
@incollection{eczoo_oscillators_into_oscillators,
title={Oscillator-into-oscillator code},
booktitle={The Error Correction Zoo},
year={2026},
editor={Albert, Victor V. and Faist, Philippe},
eprint={2606.11484},
doi={10.48550/arXiv.2606.11484},
url={https://errorcorrectionzoo.org/c/oscillators_into_oscillators}
}
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Permanent link:
https://errorcorrectionzoo.org/c/oscillators_into_oscillators

Cite as:

“Oscillator-into-oscillator code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/oscillators_into_oscillators, arXiv:2606.11484

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/oscillators/oscillators_into_oscillators.yml.