The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
A Method of Majority Logic Reduction for Quantum Cellular Automata
Abstract
The basic Boolean primitive in quantum cellular automata (QCA) is the majority gate. In this paper, a method for reducing the number of majority gates required for computing three-variable Boolean functions is developed to facilitate the conversion of sum-of-products expression into QCA majority logic. Thirteen standard functions are introduced to represent all three-variable Boolean functions and the simplified majority expressions corresponding to these standard functions are presented. We describe a novel method for using these standard functions to convert the sum-of-products expression to majority logic. By applying this method, the hardware requirements for a QCA design can be reduced. As an example, a 1-bit QCA adder is constructed with only three majority gates and two inverters. The adder is designed and simulated using QCADesigner, a design and simulation tool for QCA. We will show that the proposed method is very efficient and fast in deriving the simplified majority expressions in QCA design.
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Lent, C. S., Tougaw, P. D., Porod, W., & Bernstein, G. H. (1993) · Nanotechnology · doi:10.1088/0957-4484/4/1/004 · Cited by 1,793
A device architecture for computing with quantum dots
Lent, C. S., & Tougaw, P. D. (1997) · Proceedings of the IEEE · doi:10.1109/5.573740 · Cited by 1,273
Cited by
Adder Designs and Analyses for Quantum-Dot Cellular Automata
Cho, H., & Swartzlander, E. E. (2007) · IEEE Transactions On Nanotechnology · doi:10.1109/tnano.2007.894839 · Cited by 313
Metadata
- Authors
- Zhang, R., Walus, K., Wang, W., & Jullien, G. A.
- Venue
- IEEE Transactions On Nanotechnology
- Published
- 2004-12
- Volume
- 3
- Issue
- 4
- Pages
- 443-450
- ISSN
- 1536-125X (ISSN-L)
- OpenAlex
- W2138040286
- Cited by
- 392
- References
- 2
- FWCI
- 9.86
- Type
- journal article
- Language
- en
- Open access
- closed
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- Zhang, R., Walus, K., Wang, W., & Jullien, G. A. (2004). A Method of Majority Logic Reduction for Quantum Cellular Automata. IEEE Transactions On Nanotechnology. https://doi.org/10.1109/tnano.2004.834177
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