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Fast and efficient exact synthesis of single qubit unitaries generated by Clifford and T gates

3 Pith papers cite this work. Polarity classification is still indexing.

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abstract

In this paper, we show the equivalence of the set of unitaries computable by the circuits over the Clifford and T library and the set of unitaries over the ring $\mathbb{Z}[\frac{1}{\sqrt{2}},i]$, in the single-qubit case. We report an efficient synthesis algorithm, with an exact optimality guarantee on the number of Hadamard and T gates used. We conjecture that the equivalence of the sets of unitaries implementable by circuits over the Clifford and T library and unitaries over the ring $\mathbb{Z}[\frac{1}{\sqrt{2}},i]$ holds in the $n$-qubit case.

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quant-ph 3

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2026 2 2025 1

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representative citing papers

Quantum Error-Corrected Computation of Molecular Energies

quant-ph · 2025-05-14 · conditional · novelty 7.0

First end-to-end demonstration of quantum error correction integrated with quantum phase estimation to compute molecular hydrogen ground-state energy to 0.001(13) hartree accuracy on Quantinuum H2-2 hardware.

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