Name
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. The basic algebraic properties of this system have been studied in Dalla Chiara et al. (Foundations of Physics 39(6):559–572, 2009), 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. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1007/s10992-013-9271-9 | J. Philosophical Logic |
Keywords | Field | DocType |
universality,quantum logic | Quantum circuit,Open quantum system,Discrete mathematics,Quantum gate,Controlled NOT gate,Pure mathematics,Quantum algorithm,Quantum Fourier transform,Mathematics,Quantum error correction,Toffoli gate | Journal |
Volume | Issue | ISSN |
42 | 3 | 1573-0433 |
Citations | PageRank | References |
1 | 0.41 | 5 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Maria Luisa Dalla Chiara | 1 | 32 | 10.24 |
| Antonio Ledda | 2 | 86 | 17.14 |
| Giuseppe Sergioli | 3 | 23 | 11.03 |
| Roberto Giuntini | 4 | 118 | 26.43 |