Year: 2026
Type: preprint
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 $γ_T \leq 3/8$ improves the previously published exponent $\log_2(3)/4$.
Source: arXiv (Cornell University)
Author: Bevins, Samuel
Institution: William & Mary
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221788747