Quantum Theory as a Theory of Information Processing

          @misc{ pirsa_PIRSA:11050040,
            doi = {10.48660/11050040},
            url = {https://pirsa.org/11050040},
            author = {Perinotti, Paolo},
            keywords = {Quantum Foundations},
            language = {en},
            title = {Quantum Theory as a Theory of Information Processing },
            publisher = {Perimeter Institute},
            year = {2011},
            month = {may},
            note = {PIRSA:11050040 see, \url{https://pirsa.org}}
          }
          

Abstract

Quantum Theory can be derived from six operational axioms. We introduce the operational and probabilistic language that is used to formulate the principles. After the basic notions of system, state, effect and transformation are reviewed, the principles are stated, and their immediate consequences and interpretations are analyzed. Finally, some key results that represent milestones of the derivation are discussed, with particular focus on their implications on information processing and their relation with the standard quantum formalism. The global picture of the presentation highlights quantum theory as a particular operational language emerging from a background of information processing theories, thanks to the purification postulate that singles out the strictly quantum features of information.