Entanglement-assisted (EA) subsystem QECC[1,2] 

Also known as EA operator QECC.

Description

Subsystem QECC whose encoding and decoding utilizes pre-shared entanglement between sender and receiver.

Cousins

  • Subsystem QECC — EA subsystem QECCs utilize additional ancillary subsystems in a pre-shared entangled state, but reduce to subsystem QECCs when said subsystems are interpreted as noiseless physical subsystems.
  • Entanglement-assisted (EA) QECC — An EA subsystem QECC reduces to an EA QECC when the gauge subsystem is trivial. Conversely, any EA QECC with a tensor-product logical subspace can be turned into an EA subsystem QECC by treating a logical tensor factor as a gauge subsystem.

References

[1]
M.-H. Hsieh, I. Devetak, and T. Brun, “General entanglement-assisted quantum error-correcting codes”, Physical Review A 76, (2007) arXiv:0708.2142 DOI
[2]
T. A. Brun, I. Devetak, and M.-H. Hsieh, “General entanglement-assisted quantum error-correcting codes”, 2007 IEEE International Symposium on Information Theory (2007) DOI
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Zoo Code ID: eaoecc

Cite as:
“Entanglement-assisted (EA) subsystem QECC”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/eaoecc
BibTeX:
@incollection{eczoo_eaoecc, title={Entanglement-assisted (EA) subsystem QECC}, booktitle={The Error Correction Zoo}, year={2022}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/eaoecc} }
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Cite as:

“Entanglement-assisted (EA) subsystem QECC”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/eaoecc

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