Quantum logic as a sum over classical logic gates

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dc.creatorNachtergaele, Bruno
dc.creatorPeriwal, Vipul
dc.date1996-06-16
dc.date.accessioned2026-07-07T06:13:52Z
dc.date.available2026-07-07T06:13:52Z
dc.descriptionIt is shown that certain natural quantum logic gates, {\it i.e.} unitary time evolution matrices for spin-\frac{1}{2} quantum spins, can be represented as sums, with appropriate phases, over classical logic gates, in a direct analogy with the Feynman path integral representation of quantum mechanics. On the other hand, it is shown that a natural quantum gate obtained by analytically continuing the transfer matrix of the anisotropic nearest-neighbour Ising model to imaginary time, does not admit such a representation.
dc.descriptionPlain TeX, 3 figures, 15 pages incl. figures
dc.identifierhttps://arxiv.org/abs/quant-ph/9606018
dc.identifierhttp://arxiv.org/abs/quant-ph/9606018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/93260
dc.subjectQuantum Physics
dc.titleQuantum logic as a sum over classical logic gates
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