Compare Papers

Paper 1

Multi-qubit controlled gate with optimal T-count

Soichiro Yamazaki, Seiseki Akibue

Year

2026

Journal

arXiv preprint

DOI

arXiv:2603.14202

arXiv

2603.14202

Controlled gates are key components in various quantum algorithms. Improving on the prior work of Gosset et al., we show that, for an allowed error $\varepsilon$, $3\log_2(1/\varepsilon) + o(\log(1/\varepsilon))$ $T$ gates are sufficient to approximate most multi-qubit controlled SU(2)s. We also show that this T-count matches the lower bound when the use of an almost controlled gate is prohibited. As an application, general controlled gate synthesis and efficient SU(4) gate synthesis are given.

Open paper

Paper 2

Topological quantum hashing with the icosahedral group.

Burrello M, Xu H, Mussardo G, Wan X.

Year

2010

Journal

Phys Rev Lett

DOI

10.1103/physrevlett.104.160502

arXiv

-

No abstract.

Open paper