Quantum Logics Based on Four-Photon Entanglement

2005 ◽  
pp. 49-62
Author(s):  
Ph. Walther ◽  
A. Zeilinger
Keyword(s):  
Quantum Logics

On the observables on quantum logics

1981 ◽  
Vol 11 (1-2) ◽  
pp. 127-136 ◽  
Author(s):  
S. Pulmannov�
Keyword(s):  
Quantum Logics

Perfect residuated lattice ordered monoids

2010 ◽  
Vol 60 (6) ◽  
Author(s):  
Jiří Rachůnek ◽  
Dana Šalounová
Keyword(s):  
Probability Measure ◽  
Residuated Lattice ◽  
Residuated Lattices ◽  
Heyting Algebras ◽  
Effect Algebras ◽  
Quantum Logics ◽  
Mv Algebras ◽  
Intuitionistic Logics

AbstractBounded Rℓ-monoids form a large subclass of the class of residuated lattices which contains certain of algebras of fuzzy and intuitionistic logics, such as GMV-algebras (= pseudo-MV-algebras), pseudo-BL-algebras and Heyting algebras. Moreover, GMV-algebras and pseudo-BL-algebras can be recognized as special kinds of pseudo-MV-effect algebras and pseudo-weak MV-effect algebras, i.e., as algebras of some quantum logics. In the paper, bipartite, local and perfect Rℓ-monoids are investigated and it is shown that every good perfect Rℓ-monoid has a state (= an analogue of probability measure).

On the extended characterisation theorem for quantum logics

1983 ◽  
Vol 16 (6) ◽  
pp. L179-L180
Author(s):  
E David ◽  
C S Sharma
Keyword(s):  
Quantum Logics

Quantum Logics

2002 ◽  
pp. 129-228 ◽  
Author(s):  
Maria Luisa Dalla Chiara ◽  
Roberto Giuntini
Keyword(s):  
Quantum Logics

Unsharp quantum logics

2004 ◽  
pp. 217-223
Author(s):  
M. Dalla Chiara ◽  
R. Giuntini ◽  
R. Greechie
Keyword(s):  
Quantum Logics

Quantum Logics

1975 ◽  
pp. 545-575 ◽  
Author(s):  
R. J. Greechie ◽  
Stanley P. Gudder
Keyword(s):  
Quantum Logics

scholarly journals A Logic for Quantum Register Measurements

Axioms ◽  
2019 ◽  
Vol 8 (1) ◽  
pp. 25 ◽  
Author(s):  
Andrea Masini ◽  
Margherita Zorzi
Keyword(s):  
Quantum Computing ◽  
Intuitionistic Logic ◽  
Quantum Logics ◽  
Quantum Register

We know that quantum logics are the most prominent logical systems associated to the lattices of closed Hilbert subspaces. However, what happen if, following a quantum computing perspective, we want to associate a logic to the process of quantum registers measurements? This paper gives an answer to this question, and, quite surprisingly, shows that such a logic is nothing else that the standard propositional intuitionistic logic.

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