Logical gates studied in quantum computation suggest a natural logical abstraction that gives rise to a new form of unsharp quantum logic. We study the logical connectives corresponding to the following gates: the Toffoli gate, the NOT and the rootNOT (which admit of natural physical models). This leads to a semantic characterization of a logic that we call quantum computational logic (QCL)
Cattaneo, G., Dalla Chiara, M., Giuntini, R., Leporini, R. (2004). An unsharp logic from quantum computation. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 43(7-8), 1803-1817 [10.1023/B:IJTP.0000048821.56239.cb].
An unsharp logic from quantum computation
CATTANEO, GIANPIERO;
2004
Abstract
Logical gates studied in quantum computation suggest a natural logical abstraction that gives rise to a new form of unsharp quantum logic. We study the logical connectives corresponding to the following gates: the Toffoli gate, the NOT and the rootNOT (which admit of natural physical models). This leads to a semantic characterization of a logic that we call quantum computational logic (QCL)File in questo prodotto:
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