Kwok Ho Wan (Feb 25 2025).

Abstract: We employed the techniques from [Phys. Rev. A \textbf70, 052328 (2004)/arXiv:0406196] to analytically study two set of quantum circuits containing one $T$ gate/magic $|T\rangle = \frac{|0\rangle+\sqrt{i}|1\rangle}{\sqrt{2}}$ state. These include the $T$ state via gate teleportation and magic state injection on the rotated surface code.

Arxiv: https://arxiv.org/abs/2502.16939