Abstract | ||
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Quantum computational logics are special examples of quantum logic where formulas are supposed to denote pieces of quantum information (qubit-systems or mixtures of qubit-systems), while logical connectives are interpreted as reversible quantum logical gates. Hence, any formula of the quantum computational language represents a synthetic logical description of a quantum circuit. We investigate a many-valued approach to quantum information, where the basic notion of qubit has been replaced by the more general notion of qudit. The qudit-semantics allows us to represent as reversible gates some basic logical operations of Łukasiewicz many-valued logics. In the final part of the article we discuss some problems that concern possible implementations of gates by means of optical devices. |
Year | DOI | Venue |
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2018 | 10.1016/j.fss.2016.12.015 | Fuzzy Sets and Systems |
Keywords | Field | DocType |
Quantum logics,Quantum tomography,Logical gates | Quantum circuit,Discrete mathematics,Quantum Turing machine,Algebra,Quantum process,Pure mathematics,Quantum computer,Quantum algorithm,Quantum information,Quantum operation,Mathematics,Quantum network | Journal |
Volume | ISSN | Citations |
335 | 0165-0114 | 3 |
PageRank | References | Authors |
0.45 | 1 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Maria Luisa Dalla Chiara | 1 | 32 | 10.24 |
Roberto Giuntini | 2 | 118 | 26.43 |
Giuseppe Sergioli | 3 | 23 | 11.03 |
Roberto Leporini | 4 | 22 | 6.57 |