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Paper 1
Nonadiabatic holonomic multiqubit controlled gates
P. Z. Zhao, G. F. Xu, D. M. Tong
- Year
- 2019
- Journal
- arXiv preprint
- DOI
- arXiv:1912.09796
- arXiv
- 1912.09796
Previous schemes of nonadiabatic holonomic quantum computation were focused mainly on realizing a universal set of elementary gates. Multiqubit controlled gates could be built by decomposing them into a series of the universal gates. In this article, we propose an approach for realizing nonadiabatic holonomic multiqubit controlled gates in which a $(n+1)$-qubit controlled-$(\boldsymbol{\mathrm{n}\cdot \mathrmσ})$ gate is realized by $(2n-1)$ basic operations instead of decomposing it into the universal gates, whereas an $(n+1)$-qubit controlled arbitrary rotation gate can be obtained by combining only two such controlled-$(\boldsymbol{\mathrm{n}\cdot \mathrmσ})$ gates. Our scheme greatly reduces the operations of nonadiabatic holonomic quantum computation.
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