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Chin. Phys. B, 2020, Vol. 29(5): 050305    DOI: 10.1088/1674-1056/ab7d9d
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Quantum legitimacy of reversible gate and a new design of multiplier based on R gate

Tingyu Ge(葛庭宇), Tinggui Zhang(张廷桂), Xiaofen Huang(黄晓芬)
School of Mathematics and Statistics, Hainan Normal University, Haikou 571158, China
Abstract  Quantum full adders play a key role in the design of quantum computers. The efficiency of a quantum adder directly determines the speed of the quantum computer, and its complexity is closely related to the difficulty and the cost of building a quantum computer. The existed full adder based on R gate is a great design but it is not suitable to construct a quantum multiplier. We show the quantum legitimacy of some common reversible gates, then use R gate to propose a new design of a quantum full adder. We utilize the new designed quantum full adder to optimize the quantum multiplier which is based on R gate. It is shown that the new designed one can be optimized by a local optimization rule so that it will have lower quantum cost than before.
Keywords:  reversible gate      quantum full adder      quantum multiplier  
Received:  10 January 2020      Revised:  21 February 2020      Published:  05 May 2020
PACS:  03.67.-a (Quantum information)  
  02.20.Hj (Classical groups)  
  03.65.-w (Quantum mechanics)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11861031).
Corresponding Authors:  Tinggui Zhang     E-mail:

Cite this article: 

Tingyu Ge(葛庭宇), Tinggui Zhang(张廷桂), Xiaofen Huang(黄晓芬) Quantum legitimacy of reversible gate and a new design of multiplier based on R gate 2020 Chin. Phys. B 29 050305

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