Quantum Physics

   

A New Quantum Algorithm in Case of a Special Function (New Version)

Authors: Koji Nagata, Tadao Nakamura, Han Geurdes, Ahmed Farouk, Josep Batle, Soliman Abdalla, Germano Resconi

We present a new quantum algorithm. It determines the property of a function. It is $f(x)=f(-x)$. How fast can we succeed? The quantum algorithm does not use the Hadamard transformation. All we need is of evaluating $|\overbrace{0,0,...,1}^N\rangle$. And we can know the global property, that is, we can realize $f(x)=f(-x)$ for numbers. Our quantum algorithm overcomes a classical counterpart by a factor of $O(2^N)$.

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Submission history

[v1] 2017-05-21 18:45:35

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