Hastings-Haah Floquet code[1] 

Description

DA code whose sequence of check-operator measurements is periodic.

Protection

Protects against single-qubit Pauli noise and check operator measurement errors.

Fault Tolerance

Floquet codes on tri-colorable lattices can be made fault-tolerant in the presence of dead qubits [2].

Parent

Children

Cousins

  • Subsystem qubit stabilizer code — This code can be viewed as a subsystem stabilizer code, albeit one with less logical qubits.
  • Monitored random-circuit code — Both Floquet and monitored random circuit codes can have an instantaneous stabilizer group which evolves through unitary evolution and measurements. However, Floquet codewords are generated via a specific sequence of measurements, while random-circuit codes maintain a stabilizer group after any measurement. Floquet codes have the additional capability of detecting errors induced during the measurement process; see Appx. A of Ref. [1].
  • Majorana stabilizer code — Floquet codes are viable candidates for storage in Majorana-qubit devices [3].

References

[1]
M. B. Hastings and J. Haah, “Dynamically Generated Logical Qubits”, Quantum 5, 564 (2021) arXiv:2107.02194 DOI
[2]
D. Aasen et al., “Fault-Tolerant Hastings-Haah Codes in the Presence of Dead Qubits”, (2023) arXiv:2307.03715
[3]
A. Paetznick et al., “Performance of Planar Floquet Codes with Majorana-Based Qubits”, PRX Quantum 4, (2023) arXiv:2202.11829 DOI
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Zoo Code ID: floquet

Cite as:
“Hastings-Haah Floquet code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/floquet
BibTeX:
@incollection{eczoo_floquet, title={Hastings-Haah Floquet code}, booktitle={The Error Correction Zoo}, year={2022}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/floquet} }
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Permanent link:
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Cite as:

“Hastings-Haah Floquet code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/floquet

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/dynamic_gen/da/floquet.yml.