Physics – Quantum Physics
Scientific paper
2003-09-08
Physics
Quantum Physics
10 pages. Added reference to similar work, and fixed two typos from DCT to DFT
Scientific paper
The key step in classical convolution and correlation algorithms, the componentwise multiplication of vectors after initial Fourier Transforms, is shown to be physically impossible to do on quantum states. Then this is used to show that computing the convolution or correlation of quantum state coefficients violates quantum mechanics, making convolution and correlation of quantum coefficients physically impossible.
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