A three-eighths upper bound on the stabilizer-rank exponent of face-center magic states

Abstract:We give an explicit construction proving that the exact stabilizer rank of $m$ copies of the qubit face-center magic state is $O(2^{3m/8})$. Two symmetry-related fifteen-term identities combine into a twenty-four-term decomposition at twelve copies. The balanced structure of this decomposition yields a substitution that adds eight copies at a cost of eight terms per existing term. The resulting bound $\gamma_T \leq 3/8$ improves the previously published exponent $\log_2(3)/4$.

arXiv:2610.17500 [quant-ph]

(or arXiv:2610.17500v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2610.17500 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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