Transformación de fourier fraccionaria cuántica.

Abstract

The Fourier transformation has been successful in different areas of science and en- gineering due to its multiple applications and now in quantum computing because of its utility to achieve superposition of quantum states. Our proposal consists of developing a new quantum gate associated with the fractional Fourier transfor- mation, which allows a degree of freedom that has as a special case the standard Fourier transformation. We have tested this gate through the quantum computer simulator of IBM experience. Thus, it has been shown that the fractional order offers an additional degree of freedom in the superposition of qubit states, what allowed the reduction of the quantum volume in replacing the use of some other quantum gates according to the fractional order.