Operator-algebra error-correcting code

Operator-algebra error-correcting code[1][2][3][4]

Stub.

Error-correcting code (ECC)
Holographic code — Properties of holographic codes are often quantified in the Heisenberg picture, i.e., in terms of operator algebras [5][6].
Quantum error-correcting code (QECC)
Subsystem quantum error-correcting code

Entanglement-assisted hybrid classical-quantum (EACQ) code — Entanglement-assisted hybrid codes are hybrid classical-quantum codes utilizing pre-shared entanglement.

[1]: Greg Kuperberg, “The capacity of hybrid quantum memory”. quant-ph/0203105
[2]: C. Bény, A. Kempf, and D. W. Kribs, “Generalization of Quantum Error Correction via the Heisenberg Picture”, Physical Review Letters 98, (2007). DOI; quant-ph/0608071
[3]: C. Bény, A. Kempf, and D. W. Kribs, “Quantum error correction of observables”, Physical Review A 76, (2007). DOI; 0705.1574
[4]: C. BÉNY, D. W. KRIBS, and A. PASIEKA, “ALGEBRAIC FORMULATION OF QUANTUM ERROR CORRECTION”, International Journal of Quantum Information 06, 597 (2008). DOI
[5]: A. Almheiri, X. Dong, and D. Harlow, “Bulk locality and quantum error correction in AdS/CFT”, Journal of High Energy Physics 2015, (2015). DOI; 1411.7041
[6]: F. Pastawski and J. Preskill, “Code Properties from Holographic Geometries”, Physical Review X 7, (2017). DOI; 1612.00017

Page edit log

“Operator-algebra error-correcting code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/oaecc