Computational power of matchgates with supplementary resources
Martin Hebenstreit, Richard Jozsa, Barbara Kraus, Sergii Strelchuk · Physical Review A · 2020
The authors study the classical simulability and computational power of so-called matchgate circuits in the presence of additional resources, and find striking parallels to the known results for Clifford circuits. They also clarify under which conditions universal quantum computation is achieved with this gate set.