MV-Algebras and Quantum Computation

نویسندگان

  • Antonio Ledda
  • Martinvaldo Konig
  • Francesco Paoli
  • Roberto Giuntini
چکیده

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 "‡at" quasi-MV algebra, and prove a completeness result w.r.t. a standard quasi-MV algebra over the complex numbers.

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عنوان ژورنال:
  • Studia Logica

دوره 82  شماره 

صفحات  -

تاریخ انتشار 2006