This calculations are available at: http://homepage.cem.itesm.mx/lgomez/quantum/v7phase.pdf
Shor's Factoring Algorithm is very important because it showed that a Quantum Computer will be more efficient than a normal computer when solving some important, practical problems (Factorization is important in the secure transmision of electronic data, like credit card numbers). This video shows briefly how Shor's algorithm can be simulated in Mathematica using the free Quantum add-on. Quantum is available at: http://homepage.cem.itesm.mx/lgomez/quantum/
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