The Toffoli-Hadamard Gate System: an Algebraic Approach.
Shi and Aharonov have shown that the Toffoli gate and the Hadamard gate give rise to an approximately universal set of quantum computational gates. The basic algebraic properties of this system have been studied in Dalla Chiara et al. (Foundations of Physics 39(6):559-572, ), where we have introduce...
| Publicado en: | Journal of Philosophical Logic Vol. 42; no. 3; pp. 467 - 482 |
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| Autores principales: | , , , |
| Formato: | Artículo |
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Springer Nature
Jun2013
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=87671057&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 87671057 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 00223611 JPH jtl: Journal of Philosophical Logic issn: 00223611 maglogo: N pubinfo: dt: Jun2013 vid: 42 iid: 3 pid: 237 pub: Springer Nature artinfo: ui: 87671057 10.1007/s10992-013-9271-9 ppf: 467 ppct: 15 formats: fmt: @attributes: type: P size: 407KB tig: atl: The Toffoli-Hadamard Gate System: an Algebraic Approach. aug: au: Dalla Chiara, M. Ledda, A. Sergioli, G. Giuntini, R. affil: Dipartimento di Filosofia, Università di Firenze, via Bolognese 52 50139 Firenze Italy Dipartimento di Filosofia, Università di Cagliari, via Is Mirrionis 1 09123 Cagliari Italy su: Quantum computing Quantum theory Algebra Quantum logic Hilbert space Notions (Philosophy) Abstract algebra sug: subj: Quantum computing Quantum theory Algebra Quantum logic Hilbert space Notions (Philosophy) Abstract algebra keyword: Quantum computational structures Universality ab: Shi and Aharonov have shown that the Toffoli gate and the Hadamard gate give rise to an approximately universal set of quantum computational gates. The basic algebraic properties of this system have been studied in Dalla Chiara et al. (Foundations of Physics 39(6):559-572, ), where we have introduced the notion of Shi-Aharonov quantum computational structure. In this paper we propose an algebraic abstraction from the Hilbert-space quantum computational structures, by introducing the notion of Toffoli-Hadamard algebra. From an intuitive point of view, such abstract algebras represent a natural quantum generalization of both classical and fuzzy-like structures. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Journal of Philosophical Logic is a copyright of Springer, 2013. All Rights Reserved. item: Journal of Philosophical Logic holder: Springer Nature dt: @attributes: year: 2013 holdings: @attributes: islocal: N |
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