Foundations of Physics 39 (6):559-572 (2009)
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Abstract |
Shi and Aharonov have shown that the Toffoli gate and the Hadamard gate give rise to an approximately universal set of quantum computational gates. We study the basic algebraic properties of this system by introducing the notion of Shi-Aharonov quantum computational structure. We show that the quotient of this structure is isomorphic to a structure based on a particular set of complex numbers $\end{document} and radius \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\frac{1}{2}$\end{document} ).
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Keywords | Quantum computation Quantum logic |
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DOI | 10.1007/s10701-009-9302-0 |
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References found in this work BETA
Quantum Computation and Quantum Information.Michael A. Nielsen, Isaac L. Chuang & Isaac L. Chuang - 2000 - Cambridge University Press.
Citations of this work BETA
Entanglement as a Semantic Resource.Maria Luisa Dalla Chiara, Roberto Giuntini, Antonio Ledda, Roberto Leporini & Giuseppe Sergioli - 2010 - Foundations of Physics 40 (9-10):1494-1518.
The Toffoli-Hadamard Gate System: An Algebraic Approach.Maria Luisa Dalla Chiara, Antonio Ledda, Giuseppe Sergioli & Roberto Giuntini - 2013 - Journal of Philosophical Logic 42 (3):467-481.
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