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Quantum convolution and quantum correlation algorithms are physically impossible
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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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Cited by 1 Pith paper
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Quantum computing for accelerating cross-correlations intensive applications in signal processing
The paper presents QAE-based circuits for cross-correlation and EMML, but the claimed speedup relies on an unsupported readout procedure and an invalid comparison with classical FFT-based processing.
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