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by Samuel J. Lomonaco, Jr., Louis H. Kauffman
http://www2.math.uic.edu/~kauffman/ContShor.pdf
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Abstract:

Abstract. In this paper, we use the methods found in [12] to create a continuous variable analogue of Shor’s quantum factoring algorithm. By this we mean a quantum hidden subgroup algorithm that finds the period P of a function Φ: R − → C from the reals R to the complex numbers C, where Φ belongs to a very general class of functions, called the class of admissible functions. This algorithm gives some insight into the inner workings of Shor’s quantum factoring algorithm.

Citations

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2 Quantum hidden subgroup problems: A mathematical perspective – Lomonaco, Kauman - 2002
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1 Smauel Braustein, Deutsch-Jozsa algorithm for continuous variables – Pati
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1 A unified mathematical formalism for the Dirac formulation of quantum mechanics – Gadella, Gomez - 2002
1 Shor’s quantum factoring algorithm – Lomonaco
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