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

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5 Author(s)
Khan, M.M. ; Dept. of Electr. & Electron. Eng., Bangladesh Univ. of Eng. & Technol., Dhaka ; Biswas, A.K. ; Chowdhury, S. ; Hasan, M.
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We present a method of synthesizing ternary Galois field (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.

Published in:

Multiple-Valued Logic, 2009. ISMVL '09. 39th International Symposium on

Date of Conference:

21-23 May 2009

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