基于GF(3)的无垃圾输出可逆/量子逻辑电路的合成

2009 39th International Symposium on Multiple-Valued Logic Pub Date : 2009-05-21 DOI:10.1109/ISMVL.2009.73

Md. Mahmud Muntakim Khan, A. Biswas, S. Chowdhury, M. Hasan, A. Khan

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引用次数: 18

摘要

我们提出了一种合成基于三元伽罗isfield (GF(3))的可逆/量子逻辑电路的方法，没有任何辅助特征/特征，因此没有任何垃圾输出。我们利用线性离子阱可实现的Muthukrishnan-Stroud (M-S)门和移位门，在没有辅助元件的情况下实现了多输入三元Toffoli门和GF(3)变量的平方函数。然后基于多变量GF(3)函数的伽罗瓦场积和(GFSOP)表达式，合成相应的电路。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Synthesis of GF(3) Based Reversible/Quantum Logic Circuits without Garbage Output

We present a method of synthesizing Ternary GaloisField (GF(3)) based reversible/quantum logic circuits without any ancillary trits/qutrits and hence without any garbage outputs. We realize multi input ternary Toffoli gate and square functions of GF(3) variables using linear ion trap realizable Muthukrishnan-Stroud (M-S) gates and shift gates in the absence of ancillary qutrits. Then based on the Galois Field Sum of Products (GFSOP)expression of a multi-variable GF(3) function, we synthesize the corresponding circuit.

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2009 39th International Symposium on Multiple-Valued Logic

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