Tensor-product vs. geometric-product coding

dc.creatorAerts, Diederik
dc.creatorCzachor, Marek
dc.date2007-09-10
dc.date.accessioned2026-07-07T08:54:27Z
dc.date.available2026-07-07T08:54:27Z
dc.descriptionQuantum computation is based on tensor products and entangled states. We discuss an alternative to the quantum framework where tensor products are replaced by geometric products and entangled states by multivectors. The resulting theory is analogous to quantum computation but does not involve quantum mechanics. We discuss in detail similarities and differences between the two approaches and illustrate the formulas by explicit geometric objects where multivector versions of the Bell-basis, GHZ, and Hadamard states are visualized by means of colored oriented polylines.
dc.description6 eps figures
dc.identifierhttps://arxiv.org/abs/0709.1268
dc.identifierhttp://arxiv.org/abs/0709.1268
dc.identifierPhys. Rev. A 77, 012316 (2008)
dc.identifierdoi:10.1103/PhysRevA.77.012316
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145940
dc.subjectQuantum Physics
dc.titleTensor-product vs. geometric-product coding
dc.typetext

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