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 JQIS  Vol.3 No.4 , December 2013
A New Way to Implement Quantum Computation
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.
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

[1]   G. Boole, “An Investigation of the Laws of Thought, on Which Are Founded the Mathematical Theories of Logic and Probabilities,” New York, Dover, 1958.

[2]   A. Tarski, “On the Foundations of Boolean Algebra,” Vol. 10, 1935, pp. 320-341.

[3]   G. Auletta, “Mechanical Logic in three-Dimensional Space,” PanStanford Pub, Peking, 2014.

[4]   G. Auletta and S.-Y. Wang, “Quantum Mechanics for Thinkers,” Pan Stanford Pub, Peking, 2014.

[5]   G. Auletta, “Inferences with Information,” Universal Journal of Applied computer Science and Technology, Vol. 2, No. 2, 2012, pp. 216-221.

[6]   H.-K. Lo, S. Popescu and T. Spiller, “Introduction to Quantum Computation and Information,” World Scientific, Singapore, 1998.

[7]   M. A. Nielsen and I. L. Chuang, “Quantum Computation and Quantum Information,” University Press, Cambridge, 2011.

[8]   D. Bouwmeester, A. K. Ekert and A. Zeilinger, “The Physics of Quantum Information: Quantum Cryptography, Quantum Teleportation, Quantum Computation,” Springer, Berlin, 2000.

[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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