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EA analog stabilizer code[1]

Description

Constructed using a variation of the analog stabilizer formalism designed to utilize pre-shared entanglement between sender and receiver.

Protection

Optimal code parameters have been determined [2].

Cousin

  • Analog stabilizer code— EA analog stabilizer codes utilize additional ancillary modes in a pre-shared entangled state, but reduce to ordinary analog stabilizer codes when said modes are interpreted as noiseless physical modes.

Member of code lists

Primary Hierarchy

Quantum Domain
Bosonic Kingdom
EA bosonic codeEAQECC Quantum
Parents
EA bosonic code
EA analog stabilizer code

References

[1]
M. M. Wilde, H. Krovi, and T. A. Brun, “Entanglement-assisted quantum error correction with linear optics”, Physical Review A 76, (2007) arXiv:0705.4314 DOI
[2]
M. M. Wilde and T. A. Brun, “Optimal entanglement formulas for entanglement-assisted quantum coding”, Physical Review A 77, (2008) arXiv:0804.1404 DOI
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Zoo Code ID: ea_analog_stabilizer

Cite as:
“EA analog stabilizer code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/ea_analog_stabilizer
BibTeX:
@incollection{eczoo_ea_analog_stabilizer, title={EA analog stabilizer code}, booktitle={The Error Correction Zoo}, year={2023}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/ea_analog_stabilizer} }
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Permanent link:
https://errorcorrectionzoo.org/c/ea_analog_stabilizer

Cite as:

“EA analog stabilizer code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/ea_analog_stabilizer

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