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The Key Elements of Logic Design in Ternary Quantum-Dot Cellular Automata

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Unconventional Computation (UC 2011)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6714))

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Abstract

The ternary Quantum-dot Cellular Automata (tQCA) were demonstrated to be a possible candidate for the implementation of a future multi-valued processing platform. Recent papers show that the application of adiabatic pipelining can be used to solve the issues of tQCA logic primitives. The architectures of the resulting tQCAs are similar to their binary counterparts and the physical design rules remain similar to those for the binary QCA domain. The design of complex processing structures is, however, usually based on logic design. The foundation of logic design is a functionally complete set of elementary logic primitives (functions). The currently available tQCA logic primitives, i.e. tQCA majority gate and tQCA inverter gate, do not constitute a functionally complete set. We here present a tQCA implementation of the ternary characteristic functions, which together with the tQCA majority gate and the ternary constants constitute a functionally complete set according to multi-valued Post logic.

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Author information

Authors and Affiliations

  1. Faculty of Computer and Information Science, University of Ljubljana, Trzaska 25, 1000, Ljubljana, Slovenia

    Primoz Pecar & Iztok Lebar Bajec

Authors
  1. Primoz Pecar
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  2. Iztok Lebar Bajec
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Editor information

Editors and Affiliations

  1. Department of Computer Science, Science Centre, The University of Auckland, 38 Princes Street, 1142, Auckland, New Zealand

    Cristian S. Calude

  2. Department of Mathematics, University of Turku, 20014, Turku, Finland

    Jarkko Kari

  3. Department of Information Technologies, Ã…bo Akademi University, ICT Building, Joukahaisenkatu 3-5 A, 20520, Turku, Finland

    Ion Petre

  4. Leiden Institute of Center Advanced Computer Science (LIACS), Leiden University, Niels Bohrweg 1, 2333, Leiden, CA, The Netherlands

    Grzegorz Rozenberg

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Pecar, P., Lebar Bajec, I. (2011). The Key Elements of Logic Design in Ternary Quantum-Dot Cellular Automata. In: Calude, C.S., Kari, J., Petre, I., Rozenberg, G. (eds) Unconventional Computation. UC 2011. Lecture Notes in Computer Science, vol 6714. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21341-0_21

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  • DOI: https://doi.org/10.1007/978-3-642-21341-0_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21340-3

  • Online ISBN: 978-3-642-21341-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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