Role of correlation in the operation of quantum-dot cellular automata

Journal of Applied Physics

Volumn 89, Issue 12, 2001, Pages 7943-7953

  Tóth, Géza ^a,b,c   Lent, Craig S ^a  

^a University of Notre Dame   (United States)

^b Neuromorphic Info Technol Grad C   (Hungary)

^c UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18044402477     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1368389     Document Type: Article

References (18)

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8. G. Tóth and C. S. Lent, J. Appl. Phys. 85, 2977 (1999).
9. The meaning of the 〈...〉 symbol is different for the systems described by the semiclassical QCA dynamics than for systems described by the quantum QCA dynamics. In the first case it denotes the thermal average computed for the accessible charge configurations of the single-electron tunneling circuit. In the second case it is the expectation value of quantum mechanical operators.
10. G. Tóth, A. O. Orlov, I. Amlani, C. S. Lent, G. H. Bernstein, and G. L. Snider, Phys. Rev. B 60, 16906 (1999).
11. G. Mahler and V. A. Weberruß, Quantum Networks, 2nd ed. (Springer, New York, 1998).
12. ij.
13. z(k) then in the differential equations for the nth order correlation vector elements we could even find correlations of the order n + 2.
14. The correlation proper is often called the connected part of the correlation.
15. Notice that now two complex, that is, four real variables are used to describe the state of a cell. This number can be reduced to two based on the overall phase arbitrariness and unity norm of the wave function. For details see Ref. 7.
16. G. Tóth, Ph.D. Thesis, University of Notre Dame, Indiana, 2000.
17. Although in the example presented in Sec. V A the NNPC method will be used as an approximation, there are cases when it gives the same dynamics as the exact model does. For example, when quantum computing operations are done on coupled two-level systems in such a way that only nearest neighbor entanglement occurs. This highly restricts the possible operations, but makes it possible to handle big arrays and still realize, for example, the controlled NOT or the qubit exchange.
18. The switching was carried out very slowly, since we are using the example to compare the different dynamical descriptions and would like to obtain smooth curves. For the possible speed of the adiabatic switching see Ref. 4.