It's pretty beautiful to see how quantum algorithms exploit the mathematical properties of uncertainty to solve a problem.
https://www.youtube.com/watch?v=a7Ed7FiBwfw
This is definitely a great intuitive way to think about how to approach problem solving in quantum computing.
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So the algorithm basically exploits the mathematical properties of uncertainty and it takes advantage of how the Hadamard gate works when the relative phase is negative vs when it's positive.
Beautiful!