Reducing T Gates with Unitary Synthesis

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Authors: Tianyi Hao, Amanda Xu, Swamit Tannu
Cited by: 3
References: 90

Abstract

Quantum error correction is essential for achieving practical quantum computing but has a significant computational overhead. Among fault-tolerant (FT) gate operations, non-Clifford gates, such as T, are particularly expensive due to their reliance on magic state distillation. These costly T gates appear frequently in FT circuits as many quantum algorithms require arbitrary single-qubit rotations, such as Rx and Rz gates, which must be decomposed into a sequence of T and Clifford gates. In many quantum circuits, Rx and Rz gates can be fused to form a single U3 unitary. However, existing synthesis methods, such as gridsynth, rely on indirect decompositions, requiring separate Rz decompositions that result in a threefold increase in T count.

Fields of Study & Subjects

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Publication details

Journal / source
Proceedings of the 31st ACM International Conference on Architectural Support for Programming Languages and Operating Systems, Volume 2
Publisher
ACM
Pages
1589–1604
Publication date
10 March 2026
Language
EN