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

Description

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

Parent

Entanglement-assisted hybrid classical-quantum (EACQ) code

Child

Entanglement-assisted (EA) stabilizer code

Cousins

Quantum error-correcting code (QECC) — Entanglement-assisted QECCs are QECCs utilizing pre-shared entanglement.
Linear binary code — Any linear binary code can be used to construct an EAQECC.
Linear \(q\)-ary code — Any linear \(q\)-ary code can be used to construct an EAQECC.

References

[1]: T. A. Brun, I. Devetak, and M.-H. Hsieh, “Catalytic Quantum Error Correction”, IEEE Transactions on Information Theory 60, 3073 (2014). DOI; quant-ph/0608027
[2]: T. Brun, I. Devetak, and M.-H. Hsieh, “Correcting Quantum Errors with Entanglement”, Science 314, 436 (2006). DOI; quant-ph/0610092

Cite as:

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

Github: https://github.com/errorcorrectionzoo/eczoo_data/tree/main/codes/quantum/eaqecc.yml.