Intrinsically universal one-dimensional quantum cellular automata in two flavours

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dc.creatorArrighi, Pablo
dc.creatorFargetton, Renan
dc.creatorWang, Zizhu
dc.date2007-04-30
dc.date2008-12-10
dc.date.accessioned2026-07-07T12:10:22Z
dc.date.available2026-07-07T12:10:22Z
dc.descriptionWe give a one-dimensional quantum cellular automaton (QCA) capable of simulating all others. By this we mean that the initial configuration and the local transition rule of any one-dimensional QCA can be encoded within the initial configuration of the universal QCA. Several steps of the universal QCA will then correspond to one step of the simulated QCA. The simulation preserves the topology in the sense that each cell of the simulated QCA is encoded as a group of adjacent cells in the universal QCA. The encoding is linear and hence does not carry any of the cost of the computation. We do this in two flavours: a weak one which requires an infinite but periodic initial configuration and a strong one which needs only a finite initial configuration. KEYWORDS: Quantum cellular automata, Intrinsic universality, Quantum computation.
dc.description27 pages, revtex, 23 figures. V3: The results of V1-V2 are better explained and formalized, and a novel result about intrinsic universality with only finite initial configurations is given
dc.identifierhttps://arxiv.org/abs/0704.3961
dc.identifierhttp://arxiv.org/abs/0704.3961
dc.identifierV1-V2: DCM 2007, Poland. V3: Fudam. Informaticae journal
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209916
dc.subjectQuantum Physics
dc.titleIntrinsically universal one-dimensional quantum cellular automata in two flavours
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