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Quantum Circuit Design Gate Engineering

High-Performance Exact Synthesis of Two-Qubit Quantum Circuits

arXiv
Authors: Andrew N. Glaudell, Michael Jarret, Swan Klein, Samuel S. Mendelson, T. C. Mooney, Mingzhen Tian

Year

2026

Paper ID

3284

Status

Preprint

Abstract Read

~2 min

Abstract Words

93

Citations

N/A

Abstract

Exact synthesis provides unconditional optimality and canonical structure, but is often limited to small, carefully scoped regimes. We present an exact synthesis framework for two-qubit circuits over the Clifford+T gate set that optimizes T-count exactly. Our approach exhausts a bounded search space, exploits algebraic canonicalization to avoid redundancy, and constructs a lookup table of optimal implementations that turns synthesis into a query. Algorithmically, we combine meet-in-the-middle ideas with provable pruning rules and problem-specific arithmetic designed for modern hardware. The result is an exact, reusable synthesis engine with substantially improved practical performance.

Why This Paper Matters

  • This paper contributes to the Quantum Circuit Design & Gate Engineering research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • Exact synthesis provides unconditional optimality and canonical structure, but is often limited to small, carefully scoped regimes.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2601.19166 [2] arXiv https://arxiv.org/abs/2601.19166 [3] Publisher https://arxiv.org/abs/2601.19166

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