The quantum logical reconstruction from Rovelli's axioms and its limits

          @misc{ pirsa_PIRSA:09080003,
            doi = {10.48660/09080003},
            url = {https://pirsa.org/09080003},
            author = {Grinbaum, Alexei},
            keywords = {},
            language = {en},
            title = {The quantum logical reconstruction from Rovelli{\textquoteright}s axioms and its limits},
            publisher = {Perimeter Institute},
            year = {2009},
            month = {aug},
            note = {PIRSA:09080003 see, \url{https://pirsa.org}}
          }
          

Abstract

What belongs to quantum theory is no more than what is needed for its derivation. Keeping to this maxim, we record a paradigmatic shift in the foundations of quantum mechanics, where the focus has recently moved from interpreting to reconstructing quantum theory. We present a quantum logical derivation based on Rovelli's information-theoretic axioms. Its strengths and weaknesses will be studied in the light of recent developments, focusing on the subsystems rule, continuity assumptions, and the definition of observer. Publications: * "Reconstruction of quantum theory," British Journal for the Philosophy of Science, 58, 2007, pp. 387-408. * "Information-theoretic principle entails orthomodularity of a lattice," Foundations of Physics Letters 18 (6), 2005, pp. 563-572. * "Elements of information-theoretic derivation of the formalism of quantum theory", International Journal of Quantum Information 1(3), 2003, pp. 289-300.