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Oscillator-into-oscillator code[1,2]

Alternative names: Analog quantum code.

Description

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

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.
Block quantum codeQECC Quantum
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.), 2021. https://errorcorrectionzoo.org/c/oscillators_into_oscillators
BibTeX:
@incollection{eczoo_oscillators_into_oscillators, title={Oscillator-into-oscillator code}, booktitle={The Error Correction Zoo}, year={2021}, editor={Albert, Victor V. and Faist, Philippe}, 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.), 2021. https://errorcorrectionzoo.org/c/oscillators_into_oscillators

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