The algebraic structure of an approximately universal system of quantum computational gates

Foundations of Physics

Volumn 39, Issue 6, 2009, Pages 559-572

  Chiara, Maria Luisa Dalla ^a   Giuntini, Roberto ^b   Freytes, Hector ^b   Ledda, Antonio ^b   Sergioli, Giuseppe ^b  

^a UNIVERSITY OF FLORENCE   (Italy)

^b UNIVERSITY OF CAGLIARI   (Italy)

Author keywords

Quantum computation; Quantum logic

Indexed keywords

EID: 69549129422     PISSN: 00159018     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10701-009-9302-0     Document Type: Article

References (10)

1. Aharonov, D.: A simple proof that Toffoli and Hadamard are quantum universal, arXiv:quant-ph/0301040 (2003).
2. Aharonov, D., Kitaev, A., Nisan, N.: Quantum circuits with mixed states. In: STOC '98: Proceedings of the Thirtieth Annual ACM Symposium on Theory of Computing, pp. 20-30. ACM, New York (1998).
3. Cattaneo, G., Dalla Chiara, M.L., Giuntini, R., Leporini, R.: Quantum computational structures. Math. Slovaca 54, 87-108 (2004).
4. Dalla Chiara, M.L., Giuntini, R., Leporini, R.: Quantum computational logics: A survey. In: Hendricks, V.F., Malinowski, J. (eds.) Trends in Logic: 50 Years of Studia Logica, pp. 213-255. Kluwer Academic, Dordrecht (2003).
5. Dalla Chiara, M.L., Giuntini, R., Leporini, R.: Logics from quantum computation. Int. J. Quant. Inf. 3, 293-337 (2005).
6. Deutsch, D.: Quantum computational networks. Proc. R. Soc. Lond. A 425, 73-90 (1989).
7. Gudder, G.: Quantum computational logics. Int. J. Theor. Phys. 42, 39-47 (2003).
8. Nielsen, M., Chuang, I.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000).
9. Shi, Y.: Both Toffoli and controlled-Not need little help to do universal quantum computation, arXiv:quant-ph/0205115 (2002).
10. Toffoli, T.: Reversible computing. In: de Bakker, J.W., van Leeuwen, J. (eds.) Automata, Languages and Programming, pp. 632-644. Springer, Berlin (1980).