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Bosonic CSS code

Alternative names: CV CSS code, Oscillator CSS code.

Description

Bosonic stabilizer code admitting a set of stabilizer generators that are either position or momentum displacements.

Member of code lists

Primary Hierarchy

Quantum Domain
Bosonic Kingdom
Bosonic codeQECC Quantum
Bosonic stabilizer codeStabilizer Hamiltonian-based QECC Quantum
Parents
Bosonic stabilizer code
Calderbank-Shor-Steane (CSS) stabilizer codeStabilizer Hamiltonian-based QECC Quantum
Bosonic CSS code
Children
Integer-homology bosonic CSS code
Integer-homology bosonic CSS codes are constructed from chain complexes over the integers and realize homological rotor codes out of continuous displacement stabilizer groups. The stabilizer group is continuous, but contains discrete components in the form of the single-mode GKP stabilizers.
Analog repetition code
Analog surface code
Hayden-Nezami-Salton-Sanders bosonic code
\([[9,1,3]]_{\mathbb{R}}\) Lloyd-Slotine code
Square-lattice GKP code
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Zoo Code ID: oscillator_css

Cite as:
“Bosonic CSS code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2025. https://errorcorrectionzoo.org/c/oscillator_css
BibTeX:
@incollection{eczoo_oscillator_css, title={Bosonic CSS code}, booktitle={The Error Correction Zoo}, year={2025}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/oscillator_css} }
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Permanent link:
https://errorcorrectionzoo.org/c/oscillator_css

Cite as:

“Bosonic CSS code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2025. https://errorcorrectionzoo.org/c/oscillator_css

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