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A New Way to Implement Quantum Computation

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DOI: 10.4236/jqis.2013.34017    2,778 Downloads   5,035 Views   Citations
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ABSTRACT

In this paper, I shall sketch a new way to consider a Lindenbaum-Tarski algebra as a 3D logical space in which any one (of the 256 statements) occupies a well-defined position and it is identified by a numerical ID. This allows pure mechanical computation both for generating rules and inferences. It is shown that this abstract formalism can be geometrically represented with logical spaces and subspaces allowing a vectorial representation. Finally, it shows the application to quantum computing through the example of three coupled harmonic oscillators.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

G. Auletta, "A New Way to Implement Quantum Computation," Journal of Quantum Information Science, Vol. 3 No. 4, 2013, pp. 127-137. doi: 10.4236/jqis.2013.34017.

References

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[3] G. Auletta, “Mechanical Logic in three-Dimensional Space,” PanStanford Pub, Peking, 2014.
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[5] G. Auletta, “Inferences with Information,” Universal Journal of Applied computer Science and Technology, Vol. 2, No. 2, 2012, pp. 216-221.
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[9] G. Auletta, M. Fortunato and G. Parisi, “Quantum Mechanics,” University Press, Cambridge, 2009.
[10] A. Tarski, Logic, “Semantics, Meta-Mathematics,” University Press, Oxford, 1956.

  
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