Journal of Computational Electronics

, Volume 15, Issue 2, pp 683–696 | Cite as

Introducing a novel model based on particle wave duality for energy dissipation analysis in MQCA circuits

  • Mohammad Nabi Mohammadi
  • Reza Sabbaghi-Nadooshan
Article

Abstract

In recent years, the limitations of the physical dimensions and high consumption of energy in electronic systems have been a major challenge. In order to decrease the physical size and energy consumption, various technologies have been investigated at the nano-scale. One of which is quantum cellular automata (QCA). This paper elaborates on the advantages of molecular QCA (MQCA) and proposes a new idea based on particle wave duality of free electron in QCA for energy dissipation analysis. The first stage is to calculate the dissipation of the internal dynamical and statically power of the cells considering the inner interaction of molecules. In return, by elaborating the inner calculation and consideration the distances and real size of the cells, energy dissipation values of MQCAs is calculated. Then, energy dissipation values for MQCA circuits consisting of binary wire and a majority gate are calculated. The achieved results show that in MQCA circuits, energy dissipation is very low. In addition, most of the energy dissipation in such circuits is related to the dynamical dissipation of the system. Our new concept proposes the separate use of classical physics and quantum mechanics properties in the calculation. Cell polarization changes simulated stage by stage based on current situation of electron and in each stage, the best conditions for calculations considered. The main innovation of this work is to introduce a new model based on particle wave duality for free electrons in MQCAs. In addition we presented equations to calculate total dissipation consisting dynamical and statically dissipation of MQCA circuits.

Keywords

Quantum cellular automata Molecular QCA Power dissipation Energy dissipation Dynamic dissipation Electro-static dissipation QCA power 

Notes

Acknowledgments

The authors would like to thank the respected editor and reviewers for their constructive comments and valuable suggestions.

References

  1. 1.
    Srivastava, S., Sarkar, S., Bhanja, S.: Power dissipation bounds and models for quantum-dot cellular automata circuits. In: 6th IEEE Conference Nanotechnology, vol. 1, pp. 375–378, June 2006Google Scholar
  2. 2.
    Lent, C.S., Tougaw, P.D., Porod, W., Bernstein, G.H.: Quantum cellular automata. Nanotechnology 4(1), 49–57 (1993)CrossRefGoogle Scholar
  3. 3.
    Momenzadeh, M., Huang, J., Lombardi, F.: Design and Test of Digital Circuits by Quantum Dot Cellular Automata. Artech House, Norwood (2008)Google Scholar
  4. 4.
    Broglie, De: Recherches sur la theorie des Quanta, University of Paris, 1924. English translation published as Phase Waves of Louis de Broglie. Am. J. Phys. 40(9), 1315–1320 (1972)Google Scholar
  5. 5.
    Lu, Y., Lent, C.S.: Theoretical study of molecular quantum-dot cellular automata. J. Comput. Electron. 4(1–2), 115–118 (2005)CrossRefGoogle Scholar
  6. 6.
    Lent, C.S., Isaksen, B., Lieberman, M.: Molecular quantum-dot cellular automata. J. Am. Chem. Soc. 125(4), 1056–1063 (2003)CrossRefGoogle Scholar
  7. 7.
    Jiao, J., Long, G.J., Grandjean, F., Beatty, A.M., Fehlner, T.P.: Building blocks for the molecular expression of quantum cellular automata. Isolation and characterization of a covalently bonded square array of two ferrocenium and two ferrocene complexes. J. Am. Chem. Soc. 125(25), 7522–7523 (2003)CrossRefGoogle Scholar
  8. 8.
    Lent, C.S., Isaksen, B.: Clocked molecular quantum-dot cellular automata. IEEE Trans. Electron Devices 50(9), 1890–1896 (2003)CrossRefGoogle Scholar
  9. 9.
    Jin, Z.: Fabrication and measurement of molecular quantum cellular automata (QCA) device. M.S. Thesis, Department of Electrical Engineering, Notre Dame University, Indiana (2006)Google Scholar
  10. 10.
    Li, Z., Fehler, T.P.: Molecular QCA cells. 2. Characterization of an unsymmetrical dinuclear mixed-valence complex bound to a Au surface by an organic linker. Inorg. Chem. 42(18), 5715–5721 (2003)CrossRefGoogle Scholar
  11. 11.
    Li, Z., Beatty, A.M., Fehlner, T.P.: Molecular QCA cells. 1. Structure and functionalization of an unsymmetrical dinuclear mixedvalence complex for surface binding. Inorg. Chem. 42(18), 5707–5714 (2003)CrossRefGoogle Scholar
  12. 12.
    Qi, H., Sharma, S., Li, Z., Snider, G.L., Orlov, A.O., Lent, C.S., Fehlner, T.P.: Molecular quantum cellular automata cells. Electric field driven switching of a silicon surface bound array of vertically oriented two-dot molecular quantum cellular automata. J. Am. Chem. Soc. 125(49), 15250–15259 (2003)CrossRefGoogle Scholar
  13. 13.
    Hider, M.B., Pitters, L.J., Dilabio, G.A., Livadaru, L., Mutus, J.Y., Wolkow, R.A.: Controlled coupling and occupation of silicon atomic quantum dots at room temperature. Phys. Rev. Lett. 102, 046805 (2009)CrossRefGoogle Scholar
  14. 14.
    Blair, E.P., Yost, E., Lent, C.S.: Power dissipation in clocking wires for clocked molecular quantum-dot cellular automata. J. Comput. Electron. 9(1), 49–55 (2010)CrossRefGoogle Scholar
  15. 15.
    Lio, M., Lent, C.S.: Power dissipation in clocked quantum-dot cellular automata circuits. In: 63rd Device Research Conference, vol. 1, pp. 123–124, June 2005Google Scholar
  16. 16.
    Ottavi, M., Pontarelli, S., DeBenedictis, E., Salsano, A., Kogge, P., Lombardi, F.: High throughput and low power dissipation in QCA pipelines using bennett clocking. In: ACM International Symposium on Nanoscale Architectures, pp. 17–22, June 2010Google Scholar
  17. 17.
    Timler, J., Lent, C.S.: Power gain and dissipation in quantum-dot cellular automata. J. Appl. Phys. 91(2), 823–831 (2002)CrossRefGoogle Scholar
  18. 18.
    Karim, F., Walus, K., Ivanov, A.: Analysis of field-driven clocking for molecular quantum-dot cellular automata based circuits. J. Comput. Electron. 9(1), 16–30 (2010)CrossRefGoogle Scholar
  19. 19.
    Lent, C.S., Liu, M., Lu, Y.: Bennett clocking of quantum-dot cellular automata and the limits to binary logic scaling. Nanotechnology 17(16), 4240–4251 (2006)CrossRefGoogle Scholar
  20. 20.
    Liu, M., Lent, C.S.: Bennett and Landauer clocking in quantum-dot cellular automata. In: 10th International Workshop on Computational Electronics, pp. 120–121, Oct 2004Google Scholar
  21. 21.
    Bond, L., Macucci, M.: Analysis of power dissipation in clocked quantum cellular automaton circuits. In: Proceedings of 36th European Solid-State Device Research Conference, pp. 58–61, Sep 2006Google Scholar
  22. 22.
    Sheikhfaal, S., Angizi, S., Sarmadi, S., Moaiyeri, M.H., SayedSalehi, S.: Designing efficient QCA logical circuits with power dissipation analysis. Microelectron. J. 46(6), 462–471 (2015)CrossRefGoogle Scholar
  23. 23.
    Kummamuru, R.K., Orlov, A.O., Toth, G., Timler, J., Rajagopal, R., Lent, C.S., Bernstein, G.H., Snider, G.L.: Power Gain in a quantum-dot cellular automata (QCA) shift register. In: Proceedings of 1st IEEE Conference on Nanotechnology, pp. 431–436, Oct 2001Google Scholar
  24. 24.
    Weiqiang, L., Srivastava, S., Lu, L., O’Neill, M., Swartzlander, E.: Are QCA cryptographic circuits resistant to power analysis attack? IEEE Trans. Nanotechnol. 11(6), 1239–1251 (2012)Google Scholar
  25. 25.
    Walus, K., Jullien, G.A.: Design tools for an emerging SoC technology: quantum-dot cellular automata. Proc. IEEE 94(6), 1225–1244 (2006)CrossRefGoogle Scholar
  26. 26.
    Walus, K., Dysart, T., Jullien, G.A., Budiman, R.A.: QCADesigner: a rapid design and simulation tool for quantum-dot cellular automata. IEEE Trans. Nanotechnol. 3(1), 26–31 (2004)CrossRefGoogle Scholar
  27. 27.
    Walus, K., Budiman, R.A., Jullien, G.A.: Split current quantum dot cellular automata—modeling and simulation. IEEE Trans. Nanotechnol. 3(2), 249–255 (2004)CrossRefGoogle Scholar
  28. 28.
    Schulhof, G., Walus, K., Graham, A.: Simulation of random cell displacements in QCA. ACM J. Emerg. Technol. Comput. Syst. 3(2), 2 (2007)CrossRefGoogle Scholar
  29. 29.
    Kianpour, M., Sabbaghi-Nadooshan, R.: A conventional design for CLB implementation of a FPGA in quantum-dot cellular automata (QCA). In: NANOARCH, pp. 36–42 (2012)Google Scholar
  30. 30.
    Sabbaghi-Nadooshan, R., Kianpour, M.: A novel QCA implementation of MUX-based universal shift register. J. Comput. Electron. 13(1), 198–210 (2014)Google Scholar
  31. 31.
    Kianpour, M., Sabbaghi-Nadooshan, R., Navi, K.: A novel design of 8-bit adder/subtractor by quantum-dot cellular automata. J. Comput. Syst. Sci. 80(7), 1404–1414 (2014)MathSciNetCrossRefMATHGoogle Scholar
  32. 32.
    Srivastava, S., Asthana, A., Bhanja, A., Sarkar, S.: QCAPro—An error-power estimation tool for QCA circuit design. In: IEEE International Symposium on Circuits and Systems (ISCAS), pp. 2377–2380, 2011Google Scholar
  33. 33.
    Tougaw, P.D., Lent, C.S.: Dynamic behavior of quantum cellular automata. J. Appl. Phys. 80(8), 4722–4736 (1996)CrossRefGoogle Scholar
  34. 34.
    Neamen, D.A.: Introduction to quantum mechanics. Semiconductor Physics and Devices. Basic Principles, 3rd edn, pp. 24–55. McGraw Hill, New Mexico (2003)Google Scholar
  35. 35.
    Halliday, D.: Electric charge. Fundamentals of Physics, 9th edn, pp. 561–580. Wiley, New York (2011)Google Scholar
  36. 36.
    Zettili, N.: One-dimentional problems. Quantum Mechanics: Concepts and Applications, 2nd edn, pp. 215–239. Wiley, Jacksonville (2009)Google Scholar

Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • Mohammad Nabi Mohammadi
    • 1
  • Reza Sabbaghi-Nadooshan
    • 1
  1. 1.Electrical Engineering DepartmentIslamic Azad UniversityTehranIran

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