English

Modifying $n$-qubit controlled-$ZX$ gate to be $n$-qubit Toffoli gate

Quantum Physics 2023-05-25 v1

Abstract

The decomposition for controlled-ZXZX gate in [Phys. Rev. A, 87, 062318 (2013)] has a shallow circuit depth 8n208n-20 with no ancilla. Here we modify this decomposition to decompose nn-qubit Toffoli gate with only 2n32n-3 additional single-qubit gates. The circuit depth is unchanged and no ancilla is needed. We explicitly show that the circuit after decomposition can be easily constructed in present physical systems.

Keywords

Cite

@article{arxiv.2305.15018,
  title  = {Modifying $n$-qubit controlled-$ZX$ gate to be $n$-qubit Toffoli gate},
  author = {Jian Leng and Fan Yang and Xiang-Bin Wang},
  journal= {arXiv preprint arXiv:2305.15018},
  year   = {2023}
}

Comments

6 pages, 9 figures