Operator-algebra error-correcting code[1][2][3][4][5][6]

Description

Stub.

Children

Cousin

  • Holographic code — Properties of holographic codes are often quantified in the Heisenberg picture, i.e., in terms of operator algebras [7][8].

References

[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]
Greg Kuperberg and Nik Weaver, “A von Neumann algebra approach to quantum metrics”. 1005.0353
[5]
C. BÉNY, D. W. KRIBS, and A. PASIEKA, “ALGEBRAIC FORMULATION OF QUANTUM ERROR CORRECTION”, International Journal of Quantum Information 06, 597 (2008). DOI
[6]
K. Furuya, N. Lashkari, and S. Ouseph, “Real-space RG, error correction and Petz map”, Journal of High Energy Physics 2022, (2022). DOI; 2012.14001
[7]
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
[8]
F. Pastawski and J. Preskill, “Code Properties from Holographic Geometries”, Physical Review X 7, (2017). DOI; 1612.00017
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Zoo code information

Internal code ID: oaecc

Your contribution is welcome!

on github.com (edit & pull request)

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Zoo Code ID: oaecc

Cite as:
“Operator-algebra error-correcting code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/oaecc
BibTeX:
@incollection{eczoo_oaecc, title={Operator-algebra error-correcting code}, booktitle={The Error Correction Zoo}, year={2023}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/oaecc} }
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Permanent link:
https://errorcorrectionzoo.org/c/oaecc

Cite as:

“Operator-algebra error-correcting code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/oaecc

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