Welcome to the resource topic for
**2023/1971**

**Title:**

The Planck Constant and Quantum Fourier Transformation

**Authors:**
Zhengjun Cao, Zhenfu Cao

**Abstract:**

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} could be an upper bound for the transform size of QFT.

**ePrint:**
https://eprint.iacr.org/2023/1971

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