Title
A many-valued approach to quantum computational logics.
Abstract
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 We investigate a many-valued approach to quantum information, where the basic notion of qubit has been replaced by the more general notion of qudit.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
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 Chiara13210.24
Roberto Giuntini211826.43
Giuseppe Sergioli32311.03
Roberto Leporini4226.57