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Modeling Quantum Cellular Automata Cell using Time Dependent Schrodinger Wave Equation with Hermite Polynomial

E.N. Ganesh

Abstract


Quantum cellular automata (QCA) is an innovative skill in the nanometer scale and has been measured as unique of the substitute to CMOS technology. QCA have a great potential in the development of circuits with high space density and low heat dissipation and allow the advancement of faster computers with lower power consumption. This paper discuss about modeling of simple QCA wire using hermite polynomials by solving Schrodinger equation thereby finding kink energy and tunneling energy of QCA Cell. The polarization value of the output QCA cell (two cell QCA Wire) is derived by statistical method and expected polarization of output QCA cell can be found theoretically. Simulations are performed for device parameters with different temperature and it was found that coulombic interaction is more for two cell QCA wire than four and three cell QCA wires due to shorter range. Stability is more for shorter QCA wire than three and four cell QCA wires. The effect of inter-dot distance and cell to cell distance of QCA cell on output QCA cell is analyzed and it is concluded that equal distance of quantum dots within the cell and also between the two QCA cells with equal distance in dots arrangement will give maximum polarization value.

Keywords: majority gate, majority voting scheme, statistical quantum treatment method, quantum cellular automata

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References


Lent C., Tougaw P. A device architecture for computing with quantum dots. In Proceeding of the IEEE. 1997 April; 85-4: 541–57p.

Walus K., Wang W., Julliaen et al. Majority logic reduction for Quantum Cellular Automata. In Proc IEEE Nanotechnology conf. 2004 December; 3.

Vetteth A. et al. Quantum dot cellular automata carry-look-ahead adder and barrel shifter. In Proc. IEEE Emerging Telecommunications Technologies Conf. 2002.

Walus K., Wang W., Julliaen et al. Quantum Cellular Automata adders. In Proc IEEE Nanotechnology conf. 2004 December; 3: 461–3p.

Walus K., Schulaf, Julliaen et al. Circuit design based on majority gates for application with Quantum dot cellular automata. In Proc IEEE Nanotechnology conf. 2004; 4: 1350–4p.

Walus K., Dimitrov, Julliaen et al. Computer Architecture structure for Quantum Cellular Automata. In Proc IEEE Nanotechnology conf. 2003; 3: 1435–9.

Walus K., Dysart, Julliaen et al. QCQ designer a rapid design and simulation tool for quantuim dot cellular automata. In IEEE transactions on Nanotechnology conf. 2004 June; 3(2).

Tougaw P. D., Lent C. S. Logical devices implemented using quantum cellular automata. J. Appl. Phys. 1994; 75(3): 1818–25p.

Amlani et al. Experimental demonstration of a leadless quantum-dot cellular automata cell. Appl. Phys. Lett. 2000; 77(5): 738–40p.

Porod W. Quantum-dot devices and quantum-dot cellular automata. Int. J. Bifurcation Chaos. 1997; 7(10): 2199–18.

Amlani et al. Experimental demonstration of a leadless quantum-dot cellular automata cell. Appl. Phys. Lett. 2000; 77(5): 738–40p.

Amlani et al. Digital logic using quantum-dot cellular automata. Science. 1999; 284: 289–91p.

Hennessy K., Lent C. S. Clocking of molecular quantum-dot cellular automata. J. Vac. Sci. Technol. B. 2001; 19(5): 1752–5p.

Walus, Dysart, Julliaen et al. Split current quantum dot cellular automata modeling simulation. In IEEE transactions on Nanotechnology conf. 2004; 3.

Bernstein L Amlani G., Orlov A., Lent C.S. et al. Observation of switching in Quantum cellular automata cell. Nanotechnology. 1999; 10: 166–73p.

douglas P., Lent C.S. Dynamic behavior of QCA. In Journal Of Applied Physics. 1996; 80(8): 4722–37p.

Srivastava S., Bhanja S. Hierarchical Bayesian macro modeling for QCA circuits. In 12th NASA Symposium on VLSI Design. Coeur d’Alene, Idaho, USA, 2005 Oct. 4-5; 1–11p.

Srivatsava S., Bhanja S. Probabilistic modeling of QCA circuits using Bayesian networks. In IEEE transactions on nanotechnology. 2006; 4: 43–78p.

Wolfgang P. Book On Wave Mechanics. Dovar public 2000 Edn. 52–64p.

Timler J., Lent C. Power gain and dissipation in quantum-dot cellular automata. J App Physics. 2002; 91: 823–31p.

Lent C.S., Toughaw D. Bistable saturation due to single electron charging in rings of tunnel junctions. J. App. Physics. 1994; 75: 4077–81p.

Lent C.S., Tougaw P.D., Porod W. et al. Quantum cellular automata. Nanotechnol. 1993; 4: 49–57p.




DOI: https://doi.org/10.37628/ijssm.v2i1.16

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