Abstract
This paper presents a quantum-level realization and synthesis approach using SWAP and Fredkin (SF) gates. Our quantum realization of negative-controlled Fredkin gate requires five 2-qubit elementary quantum gates, the same as that required for realizing a positive-controlled Fredkin gate. We also propose and evaluate the performance of a synthesis approach using SF gates for realizing conservative reversible functions. Our result shows that circuit realization for conservative function using SF gates is more efficient than Toffoli gates. We achieve up to \(87\%\) improvement in gate count and quantum cost for \((4 \times 4)\) conservative reversible functions.
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References
Shende, V.V., Prasad, A.K., Markov, I.L., Hayes, J.P.: Synthesis of reversible logic circuits. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 22(6), 710–722 (2003)
Fredkin, E., Toffoli, T.: Conservative logic. In: Andrew, A. (ed.) Collision-Based Computing, pp. 47–81. Springer, London (2002)
Smolin, J.A., DiVincenzo, D.P.: Five two-bit quantum gates are sufficient to implement the quantum Fredkin gate. Phys. Rev. A 53(4), 2855 (1996)
Bruce, J.W., Thornton, M.A., Shivakumaraiah, L., Kokate, P.S., Li, X.: Efficient adder circuits based on a conservative reversible logic gate. In: Proceedings of IEEE Computer Society Annual Symposium on VLSI 2002, pp. 83–88 (2002)
Maslov, D., Miller, D.M.: Comparison of the cost metrics for reversible and quantum logic synthesis. arXiv preprint quant-ph/0511008 (2005)
Miller, D.M., Maslov, D., Dueck, G.W.: A transformation based algorithm for reversible logic synthesis, in Proceedings on Design Automation Conference, pp. 318–323. IEEE (2003)
Acknowledgment
The second author was involved in this work at the University of Lethbridge, Lethbridge, AB, Canada while on sabbatical from East West University, Dhaka, Bangladesh. The first and third author carried out this work with the support of NSERC.
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Nashiry, M.A., Khan, M.H.A., Rice, J.E. (2017). Controlled and Uncontrolled SWAP Gates in Reversible Logic Synthesis. In: Phillips, I., Rahaman, H. (eds) Reversible Computation. RC 2017. Lecture Notes in Computer Science(), vol 10301. Springer, Cham. https://doi.org/10.1007/978-3-319-59936-6_11
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DOI: https://doi.org/10.1007/978-3-319-59936-6_11
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