Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The quantum Fourier transform, with exponential speed-up compared to the classical fast Fourier transform, has played an important role in quantum computation as a vital part of many quantum algorithms (most prominently, Shor’s factoring algorithm). Hover, situations arise where it is not sufficient to encode the Fourier coefficients within the quantum amplitudes, for example in the implementation of control operations that depend on Fourier coefficients. ,  detail a new quantum scheme to encode Fourier coefficients in the computational basis, with fidelity \(1 - \delta \) and digit accuracy \(\epsilon \) for each Fourier coefficient. Its time complexity depends polynomially on \(\log (N)\), where N is the problem size, and linearly on \(1/\delta \) and \(1/\epsilon \).  also discuss an application of potential practical importance, namely the simulation of circulant Hamiltonians.
['S. S. Zhou', 'T. Loke', 'Josh Izaac', 'J. B. Wang']
I am writing a research paper on a idea Quantum Fourier Transform in Computational Basis
[{"from": "human", "value": "I am writing a research paper on a idea Quantum Fourier Transform in Computational Basis"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: The quantum Fourier transform, with exponential speed-up compared to the classical fast Fourier transform, has played an important role in quantum computation as a vital part of many quantum algorithms (most prominently, Shor\u2019s factoring algorithm). Hover, situations arise where it is not sufficient to encode the Fourier coefficients within the quantum amplitudes, for example in the implementation of control operations that depend on Fourier coefficients. ,  detail a new quantum scheme to encode Fourier coefficients in the computational basis, with fidelity \\(1 - \\delta \\) and digit accuracy \\(\\epsilon \\) for each Fourier coefficient. Its time complexity depends polynomially on \\(\\log (N)\\), where N is the problem size, and linearly on \\(1/\\delta \\) and \\(1/\\epsilon \\).  also discuss an application of potential practical importance, namely the simulation of circulant Hamiltonians."}]