2015/07/24 by Giuseppe Sergioli, Antonio Ledda
Computer Science · Mathematics · Physics and Astronomy · #Advanced Algebra and Logic #Algebra over a field #Basis (linear algebra) #Characterization (materials science) #Computer science #Discrete mathematics #Focus (optics) #Hilbert space #Mathematical analysis #Mathematics #Physics #Pure mathematics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Mechanics and Applications #Quantum computer #Quantum dynamics #Quantum mechanics #Quantum probability #Quantum process #Space (punctuation) #Superposition principle #Theoretical computer science #quant-ph
paper · pdf · doi:10.1007/s00500-015-1790-6
Pages 15, Soft Computing, 2015
openalex publication_date 2015/07/24 · arxiv created 2016/02/13 · arxiv updated 2016/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The standard theory of quantum computation relies on the idea that the basic information quantity is represented by a superposition of elements of the canonical basis and the notion of probability naturally follows from the Born rule. In this work we consider three valued quantum computational logics. More specifically, we will focus on the Hilbert space C3, we discuss extensions of several gates to this space and, using the notion of effect probability, we provide a characterization of its states.