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Optimizing T gates in Clifford+T circuit as π/4 rotations around Paulis

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arxiv 1903.12456 v1 pith:TYRX5M3D submitted 2019-03-29 quant-ph

Optimizing T gates in Clifford+T circuit as π/4 rotations around Paulis

classification quant-ph
keywords gatescliffordcircuitnumberaroundrotationsalgorithmaverage
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. SymFT: Universal Fault-Tolerant Quantum Circuit Simulation via Symbolic Clifford--Pauli Frames and Stabilizer Coordinates

    quant-ph 2026-07 conditional novelty 6.5

    SymFT reaches state-of-the-art exact sampling of Clifford-dominated FT circuits by combining symbolic Clifford–Pauli frames with planned dense stabilizer-coordinate updates.