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arXiv · 1903.12456

Optimizing T gates in Clifford+T circuit as $\pi/4$ rotations around Paulis

Fang Zhang·Jianxin Chen
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Abstract

In this work, we introduce a new circuit optimization technique to reduce the number of T gates in Clifford+T circuits by treating T gates conjugated by Clifford gates as $\frac{\pi}{4}$-rotations around Pauli operators. The tested benchmarks shows up to $71.43\%$ and an average $42.67\%$ reduction in T-count, both surpass the best performance reported. The worst case complexity of our algorithm is $O(nk^2)$ where $n$ is the number of qubits and $k$ is the number of T gates in the original Clifford+T circuit.

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Fang Zhang, Jianxin Chen. 2019-03-29. Optimizing T gates in Clifford+T circuit as $\pi/4$ rotations around Paulis. https://arxiv.org/abs/1903.12456

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