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Show that Deutsch-Jozsa extend the deutsch problem
https://learning.quantum-computing.ibm.com/course/fundamentals-of-quantum-algorithms/quantum-query-algorithms#the-deutsch-jozsa-algorithm
The Deutsch-Josza algorithm is a quantum computing algorithm that solves a specific problem much faster than classical computers. Imagine you have a black box (also called an "oracle") with a function inside it. This function takes a binary input (like 0 or 1) and gives a binary output (again, 0 or 1). You're told that the function is either "constant" (always gives the same output, either all 0s or all 1s) or "balanced" (gives an equal number of 0s and 1s).
In a classical computer, you might have to check multiple inputs to figure out whether the function is constant or balanced. But the Deutsch-Josza algorithm can tell you this in just one step! It uses the principles of quantum mechanics, like superposition and interference, to do this quickly.
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