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Paper 1
High-threshold magic state distillation with quantum quadratic residue codes
Michael Zurel, Santanil Jana, Nadish de Silva
- Year
- 2026
- Journal
- arXiv preprint
- DOI
- arXiv:2603.18560
- arXiv
- 2603.18560
We present applications of quantum quadratic residue codes in magic state distillation. This includes showing that existing codes which are known to distill magic states, like the $5$-qubit perfect code, the $7$-qubit Steane code, and the $11$-qutrit and $23$-qubit Golay codes, are equivalent to certain quantum quadratic residue codes. We also present new examples of quantum quadratic residue codes that distill qubit $T$ states and qutrit Strange states with high thresholds, and we show that there are infinitely many quantum quadratic residue codes that distill $T$ states with a non-trivial threshold. All of these codes, including the codes with the highest currently known thresholds for $T$ state and Strange state distillation, are unified under the umbrella of quantum quadratic residue codes.
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Clustered error correction of codeword-stabilized quantum codes.
Li Y, Dumer I, Pryadko LP.
- Year
- 2010
- Journal
- Phys Rev Lett
- DOI
- 10.1103/physrevlett.104.190501
- arXiv
- -
No abstract.
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