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Reasoning in quantum theory
Reasoning in Quantum Theory: Sharp and Unsharp Quantum Logics
List of Figures. List of Tables. Preface. Acknowledgements. I: Mathematical and Physical Background. Introduction. 1. The mathematical scenario of quantum theory and von Neumann's axiomatization.…
A Quantum-inspired Version of the Classification Problem
It is shown that the quantum version of NMC is not invariant under rescaling, which allows us to introduce a free parameter, i.e. the rescaling factor, that could be useful to get a further improvement of the classification performance.
Toward a formal language for unsharp properties
Some algebraic structures of the set of all effects are investigated and summarized in the notion of a(weak) orthoalgebra. It is shown that these structures can be embedded in a natural way in…
BZMVdM algebras and stonian MV-algebras (applications to fuzzy sets and rough approximations)
An Unsharp Logic from Quantum Computation
AbstractLogical 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…
Quantum MV algebras
- R. Giuntini
- MathematicsStud Logica
- 1 May 1996
The notion of quantum MV algebra (QMV algebra) is introduced as a generalization of MV algebras and it is shown that the class of all effects of any Hilbert space gives rise to an example of such a structure.
A new quantum approach to binary classification
The experimental results show that HQC outperforms the other classifiers when compared to the Balanced Accuracy and other statistical measures, and the performance of the classifier is positively correlated to the increase in the number of “quantum copies” of a pattern and the resulting tensor product thereof.
On Some Properties of PBZ*-Lattices
We continue the algebraic investigation of PBZ*-lattices, a notion introduced in Giuntini et al. (Stud. Logica 104, 1145–1177, 2016) in order to obtain insights into the structure of certain algebras…