Branching MERA code[13] 

Description

Qubit stabilizer code whose encoding circuit corresponds to a branching MERA tensor network [4].

Parents

Cousin

  • Polar code — Classical versions of branching MERA codes can be thought of as extensions of polar codes [1,3].

References

[1]
A. J. Ferris and D. Poulin, “Branching MERA codes: a natural extension of polar codes”, (2013) arXiv:1312.4575
[2]
A. J. Ferris and D. Poulin, “Tensor Networks and Quantum Error Correction”, Physical Review Letters 113, (2014) arXiv:1312.4578 DOI
[3]
A. J. Ferris and D. Poulin, “Branching MERA codes: A natural extension of classical and quantum polar codes”, 2014 IEEE International Symposium on Information Theory (2014) DOI
[4]
G. Evenbly and G. Vidal, “Class of Highly Entangled Many-Body States that can be Efficiently Simulated”, Physical Review Letters 112, (2014) arXiv:1210.1895 DOI
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Zoo Code ID: branching_mera

Cite as:
“Branching MERA code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/branching_mera
BibTeX:
@incollection{eczoo_branching_mera, title={Branching MERA code}, booktitle={The Error Correction Zoo}, year={2024}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/branching_mera} }
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Permanent link:
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Cite as:

“Branching MERA code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/branching_mera

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/stabilizer/holographic/branching_mera.yml.