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m-Valued Quantum Representations and Operations of Elementary Cellular Automata

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1 Author(s)
Anas N. Al-Rabadi ; The Office of Graduate Studies and Research (OGSR) at Portland State University & Department of Computer Engineering at The University of Jordan E-mail: alrabadi@yahoo.com, Web: http://web.pdx.edu/~psu21829/

This paper introduces the m-valued Swap-based quantum computations (QC) of ECA. The fundamental m-valued quantum representations of: (1) m-valued orthonormal computational basis states quantum decision trees (QDTs) and (2) m-valued orthonormal composite basis states QDTs are also introduced as quantum modeling for the representations and operations of the QECA dynamics. The new m-valued quantum representations and their associated operations can play an important role in the automated design of future QECA circuits that consume minimal power in the quantum domain.

Published in:

2006 World Automation Congress

Date of Conference:

24-26 July 2006