The Representation of Numbers by States in Quantum Mechanics

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dc.creatorBenioff, Paul
dc.date2000-09-29
dc.date.accessioned2026-07-07T06:00:54Z
dc.date.available2026-07-07T06:00:54Z
dc.descriptionThe representation of numbers by tensor product states of composite quantum systems is examined. Consideration is limited to k-ary representations of length L and arithmetic modulo k^{L}. An abstract representation on an L fold tensor product Hilbert space H^{arith} of number states and operators for the basic arithmetic operations is described. Unitary maps onto a physical parameter based tensor product space H^{phy} are defined and the relations between these two spaces and the dependence of algorithm dynamics on the unitary maps is discussed. The important condition of efficient implementation by physically realizable Hamiltonians of the basic arithmetic operations is also discussed.
dc.descriptionPaper, 8 pages, for Proceedings, QCM&C 3, O Hirota and P. Tombesi, Editors, Kluver/Plenum, publishers
dc.identifierhttps://arxiv.org/abs/quant-ph/0009124
dc.identifierhttp://arxiv.org/abs/quant-ph/0009124
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89104
dc.subjectQuantum Physics
dc.titleThe Representation of Numbers by States in Quantum Mechanics
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