Square-lattice cluster-state code[13] 

Description

A code based on the cluster state on a square lattice that was used in the the first proposal for MBQC [2,3].

Parents

Cousin

References

[1]
H. J. Briegel and R. Raussendorf, “Persistent Entanglement in Arrays of Interacting Particles”, Physical Review Letters 86, 910 (2001) arXiv:quant-ph/0004051 DOI
[2]
R. Raussendorf, D. Browne, and H. Briegel, “The one-way quantum computer--a non-network model of quantum computation”, Journal of Modern Optics 49, 1299 (2002) arXiv:quant-ph/0108118 DOI
[3]
R. Raussendorf and H. J. Briegel, “A One-Way Quantum Computer”, Physical Review Letters 86, 5188 (2001) DOI
[4]
D. T. Stephen, H. P. Nautrup, J. Bermejo-Vega, J. Eisert, and R. Raussendorf, “Subsystem symmetries, quantum cellular automata, and computational phases of quantum matter”, Quantum 3, 142 (2019) arXiv:1806.08780 DOI
[5]
T. Devakul and D. J. Williamson, “Universal quantum computation using fractal symmetry-protected cluster phases”, Physical Review A 98, (2018) arXiv:1806.04663 DOI
[6]
A. K. Daniel, R. N. Alexander, and A. Miyake, “Computational universality of symmetry-protected topologically ordered cluster phases on 2D Archimedean lattices”, Quantum 4, 228 (2020) arXiv:1907.13279 DOI
[7]
Y. You, T. Devakul, F. J. Burnell, and S. L. Sondhi, “Subsystem symmetry protected topological order”, Physical Review B 98, (2018) arXiv:1803.02369 DOI
[8]
R. Raussendorf, C. Okay, D.-S. Wang, D. T. Stephen, and H. P. Nautrup, “Computationally Universal Phase of Quantum Matter”, Physical Review Letters 122, (2019) arXiv:1803.00095 DOI
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Zoo Code ID: square_lattice_cluster

Cite as:
“Square-lattice cluster-state code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/square_lattice_cluster
BibTeX:
@incollection{eczoo_square_lattice_cluster, title={Square-lattice cluster-state code}, booktitle={The Error Correction Zoo}, year={2024}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/square_lattice_cluster} }
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Cite as:

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

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