Name
Abstract | ||
|---|---|---|
A holistic extension of classical propositional logic is introduced via Toffoli quantum gate. This extension is based on the framework of the so-called "quantum computation with mixed states", where also irreversible transformations are taken into account. Formal aspects of this new logical system are detailed: in particular, the concepts of tautology and contradiction are investigated in this extension. These concepts turn out to receive substantial changes due to the non-separability of some quantum states; as an example, Werner states emerge as particular cases of "holistic" contradiction. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.3390/e21070636 | ENTROPY |
Keywords | Field | DocType |
quantum computational logic,fuzzy logic,quantum Toffoli gate | Quantum gate,Tautology (logic),Mathematical optimization,Algebra,Fuzzy logic,Quantum computer,Quantum state,Propositional calculus,Classical logic,Mathematics,Toffoli gate | Journal |
Volume | Issue | ISSN |
21 | 7 | 1099-4300 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Hector Freytes | 1 | 22 | 9.37 |
| Roberto Giuntini | 2 | 118 | 26.43 |
| Giuseppe Sergioli | 3 | 23 | 11.03 |