Semion subsystem code[1]
Description
Modular-qudit subsystem stabilizer code with qudit dimension \(q=4\) that realizes the chiral semion topological phase.
Parents
- Subsystem modular-qudit stabilizer code
- Abelian topological code — When treated as ground states of the code Hamiltonian, the code states realize chiral-semion topological order [1].
- Double-semion stabilizer code — The semion code can be obtained from the double-semion stabilizer code by gauging out the anyon \(\bar{s}\) or from the \(\mathbb{Z}_4^{(1)}\) subsystem code by condensing the anyon \(s^2\) [1; Fig. 15].
References
- [1]
- T. D. Ellison et al., “Pauli topological subsystem codes from Abelian anyon theories”, (2022) arXiv:2211.03798
Page edit log
- Victor V. Albert (2021-12-29) — most recent
Cite as:
“Semion subsystem code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2021. https://errorcorrectionzoo.org/c/semion
Github: https://github.com/errorcorrectionzoo/eczoo_data/tree/main/codes/quantum/qudits/subsystem/semion.yml.