The Planck Constant and Quantum Fourier Transformation

ePrint Report: The Planck Constant and Quantum Fourier Transformation

Zhengjun Cao, Zhenfu Cao

Quantum Fourier Transformation (QFT) plays a key role in quantum computation theory. But its transform size has never discussed. In practice, the Xilinx LogiCORE IP Fast Fourier Transform core has the maximum transform size $N=2^{16}$. Taking into account the Planck constant $\hbar=6.62607015\times 10^{-34}$ and the difficulty to physically implement basic operator {\footnotesize $\left[ \begin{array}{cc} 1& 0\\ 0 & \exp(-2\pi\,i/N)\\ \end{array} \right]$}
on some qubits, we think $N=2^{120}$ …

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