The Design of Quantum Ternary Full Adder

WANG Dong; ZHU Chang-jiang; ZHANG Xiao-lei

doi:10.3969/j.issn.0372-2112.2014.07.033

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The Design of Quantum Ternary Full Adder

更新时间：2025-07-16

- The Design of Quantum Ternary Full Adder
- Acta Electronica Sinica Vol. 42, Issue 7, Pages: 1452-1456(2014)
- 作者机构：
  
  1. 武汉大学软件工程国家重点实验室,湖北,武汉,430072
  2. 河南大学软件学院,河南,开封,475004
  3. 武汉大学软件工程国家重点实验室,湖北,武汉,430072
  4. 河南大学软件学院,河南,开封,475004
- 作者简介：
- 基金信息：
- DOI：10.3969/j.issn.0372-2112.2014.07.033
  CLC： TP387TN911.73
- Published：2014
- 稿件说明：
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WANG Dong, ZHU Chang-jiang, ZHANG Xiao-lei. The Design of Quantum Ternary Full Adder[J]. Acta Electronica Sinica, 2014, 42(7): 1452-1456.
DOI：

WANG Dong, ZHU Chang-jiang, ZHANG Xiao-lei. The Design of Quantum Ternary Full Adder[J]. Acta Electronica Sinica, 2014, 42(7): 1452-1456. DOI： 10.3969/j.issn.0372-2112.2014.07.033.

摘要

量子多值加法器是构建量子多值计算机的基本模块.通过认真分析三元域上加法的运算规则及带进位加法的真值表，通过设置扩展三值Toffoli门的控制条件有效实现一位加法在各种情况下的进位，利用三值Feynman门实现一位加法的求和运算，由此设计出一位量子三值全加器，再利用进位线将各位量子全加器连接起来构造出

位量子三值全加器.与同类电路相比，此量子全加器所使用的辅助线及量子代价都有所减少.

Abstract

Quantum multiple-valued adder is the basic module to construct quantum multiple-valued computer.By analyzing addition operation rules and truth table of addition with carry in ternary field

setting control conditions of quantum generalized ternary Toffoli gates to realize the addition carry in all cases and making use of ternary Feynman gates to realize sum

one qutrit full adder is given.At last

nqutrit ternary full adder is constructed by using carry bit to connect all one qutrit full adders.Compared with other same type circuits

the ancilla qubits and quantum costs of this quantum full adder have been decreased.

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