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Ouyang-Chao constant-excitation PI code[1]

Description

A constant-excitation PI Fock-state code whose construction is based on integer partitions.

Member of code lists

Primary Hierarchy

Quantum Domain
Bosonic Kingdom
Bosonic codeQECC Quantum
Qudit-into-oscillator code
Fock-state bosonic codeAmplitude-damping (AD) QECC AQECC Quantum
Parents
Fock-state bosonic code
Permutation-invariant (PI) codeCyclic quantum QECC Quantum
Constant-excitation (CE) codeAmplitude-damping (AD) AQECC Hamiltonian-based QECC Quantum
Ouyang-Chao constant-excitation PI code
Children
Wasilewski-Banaszek code
The Wasilewski-Banaszek code is a simple example of an Ouyang-Chao PI code [1].

References

[1]
Y. Ouyang and R. Chao, “Permutation-Invariant Constant-Excitation Quantum Codes for Amplitude Damping”, IEEE Transactions on Information Theory 66, 2921 (2020) arXiv:1809.09801 DOI
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Zoo Code ID: constant_excitation_permutation_invariant

Cite as:
“Ouyang-Chao constant-excitation PI code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/constant_excitation_permutation_invariant
BibTeX:
@incollection{eczoo_constant_excitation_permutation_invariant, title={Ouyang-Chao constant-excitation PI code}, booktitle={The Error Correction Zoo}, year={2022}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/constant_excitation_permutation_invariant} }
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Permanent link:
https://errorcorrectionzoo.org/c/constant_excitation_permutation_invariant

Cite as:

“Ouyang-Chao constant-excitation PI code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/constant_excitation_permutation_invariant

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/oscillators/fock_state/constant_excitation/constant_excitation_permutation_invariant.yml.