Quantum convolution and quantum correlation algorithms are physically impossible

dc.creatorLomont, Chris
dc.date2003-09-08
dc.date2003-12-03
dc.date.accessioned2026-07-07T06:07:47Z
dc.date.available2026-07-07T06:07:47Z
dc.descriptionThe 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.
dc.description10 pages. Added reference to similar work, and fixed two typos from DCT to DFT
dc.identifierhttps://arxiv.org/abs/quant-ph/0309070
dc.identifierhttp://arxiv.org/abs/quant-ph/0309070
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/91415
dc.subjectQuantum Physics
dc.titleQuantum convolution and quantum correlation algorithms are physically impossible
dc.typetext

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