2013 IEEE 43rd International Symposium on Multiple-Valued Logic (2008)

May 22, 2008 to May 24, 2008

ISSN: 0195-623X

ISBN: 978-0-7695-3155-7

pp: 202-207

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/ISMVL.2008.27

ABSTRACT

The mathematical property of inheritance for certain unary fixed point operations has recently been exploited to enable the efficient formulation of arithmetic algorithms and circuits for operations such as the modular multiplicative inverse, exponentiation, and discrete logarithm computation in classical binary logic circuits. This principle has desirable features with regard to quantum logic circuit implementations and is generalized for the case of MVL arithmetic systems. It is shown that the inheritance principle in conjunction with the bijective nature of many unary functions is used to realize compact quantum logic cascades that require no ancilla digits and generate no garbage outputs.

INDEX TERMS

Quantum Logic, Arithmetic Circuits, Multiple-Valued Quantum Gate, Inheritance Principle

CITATION

Laura Spenner,
D. Michael Miller,
David W. Matula,
Mitchell A. Thornton,
"Quantum Logic Implementation of Unary Arithmetic Operations",

*2013 IEEE 43rd International Symposium on Multiple-Valued Logic*, vol. 00, no. , pp. 202-207, 2008, doi:10.1109/ISMVL.2008.27SEARCH