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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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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.

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The authors declare no conflicts of interest.

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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.


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