MV-Algebras and quantum computation
Studia Logica 82 (2):245 - 270 (2006)
| Abstract | We introduce a generalization of MV algebras motivated by the investigations into the structure of quantum logical gates. After laying down the foundations of the structure theory for such quasi-MV algebras, we show that every quasi-MV algebra is embeddable into the direct product of an MV algebra and a “flat” quasi-MV algebra, and prove a completeness result w.r.t. a standard quasi-MV algebra over the complex numbers. | |||||||||
| Keywords | No keywords specified (fix it) | |||||||||
| Categories | ||||||||||
| Options |
|
|||||||||
Download options| PhilPapers Archive |
Upload a copy of this paper Check publisher's policy on self-archival Papers currently archived: 5,865 |
| External links |
 |
| Through your library | Configure |
Similar books and articlesBrian A. Davey & Miroslav Haviar (2004). Applications of Priestley Duality in Transferring Optimal Dualities. Studia Logica 78 (1-2):213 - 236.
Antonio Jesús Rodríguez & Antoni Torrens (1994). Wajsberg Algebras and Post Algebras. Studia Logica 53 (1):1 - 19.
Joel Berman & W. J. Blok (2004). Free Łukasiewicz and Hoop Residuation Algebras. Studia Logica 77 (2):153 - 180.
Robert Bonnet & Matatyahu Rubin (1991). Elementary Embedding Between Countable Boolean Algebras. Journal of Symbolic Logic 56 (4):1212-1229.
Miklós Ferenczi (2007). Finitary Polyadic Algebras From Cylindric Algebras. Studia Logica 87 (1):1 - 11.
Hernando Gaitán (2000). Priestley Duality for Quasi-Stone Algebras. Studia Logica 64 (1):83-92.
Robert Goldblatt (1985). An Algebraic Study of Well-Foundedness. Studia Logica 44 (4):423 - 437.
A. Ledda, T. Kowalski & F. Paoli (2011). On Certain Quasivarieties of Quasi-MV Algebras. Studia Logica 98 (1-2):149-174.
Roberto Giuntini (1996). Quantum MV Algebras. Studia Logica 56 (3):393 - 417.
Roberto Giuntini, Antonio Ledda & Francesco Paoli (2007). Expanding Quasi-MV Algebras by a Quantum Operator. Studia Logica 87 (1):99 - 128.
Analytics
Monthly downloads |
Added to index2009-01-28Total downloads19 ( #65,278 of 556,803 )Recent downloads (6 months)1 ( #64,847 of 556,803 )How can I increase my downloads? |
My notes
Discussion
