Tree cluster-state code[13] 

Description

Code obtained from a cluster state on a tree graph that has been proposed in the context of quanutm repeater and MBQC architectures.

Protection

Some tree cluster-state codes have shown good performance over the depolarizing channel [4].

Parent

References

[1]
M. Varnava, D. E. Browne, and T. Rudolph, “Loss Tolerance in One-Way Quantum Computation via Counterfactual Error Correction”, Physical Review Letters 97, (2006) arXiv:quant-ph/0507036 DOI
[2]
K. Azuma, K. Tamaki, and H.-K. Lo, “All-photonic quantum repeaters”, Nature Communications 6, (2015) arXiv:1309.7207 DOI
[3]
M. Pant et al., “Rate-distance tradeoff and resource costs for all-optical quantum repeaters”, Physical Review A 95, (2017) arXiv:1603.01353 DOI
[4]
J. Bausch and F. Leditzky, “Error Thresholds for Arbitrary Pauli Noise”, SIAM Journal on Computing 50, 1410 (2021) arXiv:1910.00471 DOI
Page edit log

Your contribution is welcome!

on github.com (edit & pull request)— see instructions

edit on this site

Zoo Code ID: tree_cluster

Cite as:
“Tree cluster-state code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/tree_cluster
BibTeX:
@incollection{eczoo_tree_cluster, title={Tree cluster-state code}, booktitle={The Error Correction Zoo}, year={2024}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/tree_cluster} }
Share via:
Twitter | Mastodon |  | E-mail
Permanent link:
https://errorcorrectionzoo.org/c/tree_cluster

Cite as:

“Tree cluster-state code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/tree_cluster

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