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QL(ℂn) determines n

Published online by Cambridge University Press:  12 March 2014

Tobias J. Hagge
Tobias J. Hagge*
Affiliation:
Department of Mathematics, Indiana University, Bloomington, IN 47405, USA. E-mail: thagge@indiana.edu
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Abstract

This addendum to [2] shows that the set of tautological quantum logical propositional formulas for a finite dimensional vector space ℂn is different for every n, affirmatively answering a question posed therein.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 72 , Issue 4 , December 2007 , pp. 1194 - 1196
Copyright
Copyright © Association for Symbolic Logic 2007

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References

REFERENCES

[1]Birkhoff, G. and von Neumann, J., The logic of quantum mechanics, Annals of Mathematics, vol. 37 (1936), pp. 823–843.CrossRefGoogle Scholar
[2]Dunn, J. Michael, Hagge, Tobias J., Moss, Lawrence S., and Wang, Zhenghan, Quantum logic as motivated by quantum computing, this Journal, vol. 70 (2005), no. 2.Google Scholar