Magic State Factory Catalog

References

The papers the catalogue's factories come from, and the people who have contributed to it.

Papers

Every factory is credited to the work that found it. The papers are listed newest first, and the link after each one lists its factories.

  1. S. P. Jain, A. Wills, and S. Singh, "Symmetry and AI-assisted discovery of magic-state factories," arXiv:2610.06535 (2026). arxiv.org/abs/2610.06535 · 735 factories
  2. A. Wills, S. P. Jain, and S. Singh, "Classification of Generalised Triorthogonal Codes through Length 54," arXiv:2609.30860 (2026). arxiv.org/abs/2609.30860 · 207 factories
  3. A. Gong, C. A. Pattison, P. Rall, and A. Wills, "Magic State Distillation via Codes over Binary Extension Fields," arXiv:2608.09727 (2026). arxiv.org/abs/2608.09727 · 5 factories
  4. S. Singh, C. Gidney, and C. Jones, "Borrowed Identities: Malleable Distillation Factories and a Unified Numerical Search," arXiv:2606.28518 (2026). arxiv.org/abs/2606.28518 · 1242 factories
  5. H. Jacinto, X. Valcarce, V. Barizien, É. Gouzien, and N. Sangouard, "Exploring the landscape of compact magic-state distillation factories," arXiv:2606.07734 (2026). arxiv.org/abs/2606.07734 · 5 factories
  6. S. P. Jain and V. V. Albert, "Transversal Clifford and T-gate codes of short length and high distance," IEEE J. Sel. Areas Inf. Theory 6, 127-137 (2025); arXiv:2408.12752. doi.org/10.1109/JSAIT.2025.3570832 · 32 factories
  7. A. Gong, "On some K=1 codes admitting strongly transversal T," note in the RM127 repository, triply-even/ (2025). github.com/gongaa/RM127/tree/main/triply-even · 12 factories
  8. A. Gong and J. M. Renes, "Computation with quantum Reed-Muller codes and their mapping onto 2D atom arrays," arXiv:2410.23263 (2024). arxiv.org/abs/2410.23263 · 1 factory
  9. M. Shi, H. Lu, J.-L. Kim, and P. Solé, "Triorthogonal codes and self-dual codes," Quantum Inf. Process. 23, 280 (2024). doi.org/10.1007/s11128-024-04485-9 · 11 factories
  10. M. Sullivan, "Code conversion with the quantum Golay code for a universal transversal gate set," Phys. Rev. A 109, 042416 (2024). doi.org/10.1103/PhysRevA.109.042416 · 1 factory
  11. M. A. Webster, A. O. Quintavalle, and S. D. Bartlett, "Transversal diagonal logical operators for stabiliser codes," New J. Phys. 25, 103018 (2023). doi.org/10.1088/1367-2630/acfc5f · 1 factory
  12. C. Vuillot and N. P. Breuckmann, "Quantum Pin Codes," IEEE Trans. Inf. Theory 68, 5955 (2022). doi.org/10.1109/TIT.2022.3170846 · 3 factories
  13. S. Nezami and J. Haah, "Classification of small triorthogonal codes," Phys. Rev. A 106, 012437 (2022). doi.org/10.1103/PhysRevA.106.012437 · 6 factories
  14. N. Rengaswamy, R. Calderbank, M. Newman, and H. D. Pfister, "On Optimality of CSS Codes for Transversal T," IEEE J. Sel. Areas Inf. Theory 1, 499 (2020). doi.org/10.1109/JSAIT.2020.3012914 · 2 factories
  15. D. Litinski, "Magic state distillation: not as costly as you think," Quantum 3, 205 (2019). doi.org/10.22331/q-2019-12-02-205 · 1 factory
  16. J. Haah and M. B. Hastings, "Codes and Protocols for Distilling T, controlled-S, and Toffoli Gates," Quantum 2, 71 (2018). doi.org/10.22331/q-2018-06-07-71 · 12 factories
  17. E. T. Campbell and M. Howard, "Unified framework for magic state distillation and multiqubit gate synthesis with reduced resource cost," Phys. Rev. A 95, 022316 (2017). doi.org/10.1103/PhysRevA.95.022316 · 4 factories
  18. S. Bravyi and J. Haah, "Magic-state distillation with low overhead," Phys. Rev. A 86, 052329 (2012). doi.org/10.1103/PhysRevA.86.052329 · 5 factories
  19. H. Bombín and M. A. Martin-Delgado, "Exact topological quantum order in D=3 and beyond: Branyons and brane-net condensates," Phys. Rev. B 75, 075103 (2007). doi.org/10.1103/PhysRevB.75.075103 · 1 factory
  20. S. Bravyi and A. Kitaev, "Universal quantum computation with ideal Clifford gates and noisy ancillas," Phys. Rev. A 71, 022316 (2005). doi.org/10.1103/PhysRevA.71.022316 · 1 factory

Contributors

Anyone who adds a factory is listed here. Contribute a factory.