Quantum theory from rules on information acquisition


Hoehn, P. (2015). Quantum theory from rules on information acquisition. Perimeter Institute. https://pirsa.org/15030086


Hoehn, Philipp. Quantum theory from rules on information acquisition. Perimeter Institute, Mar. 17, 2015, https://pirsa.org/15030086


          @misc{ pirsa_PIRSA:15030086,
            doi = {10.48660/15030086},
            url = {https://pirsa.org/15030086},
            author = {Hoehn, Philipp},
            keywords = {Quantum Foundations},
            language = {en},
            title = {Quantum theory from rules on information acquisition},
            publisher = {Perimeter Institute},
            year = {2015},
            month = {mar},
            note = {PIRSA:15030086 see, \url{https://pirsa.org}}

Philipp Hoehn Okinawa Institute of Science and Technology Graduate University


The last decade has seen a wave of characterizations of quantum theory using the formalism of generalized probability theory.

In this talk, I will introduce a novel operational approach to characterizing and reconstructing quantum theory which puts an observer’s information acquisition -- rather than the probability structure – centre stage. In particular, we consider an observer interrogating a system with binary questions and explain how an elementary set of rules governing the observer’s acquisition of information about the system leads to qubit quantum theory. The derivation is constructive, elucidating, among other things, the origin of entanglement, monogamy and more generally the correlation structure. This approach also yields a new characterization of pure states in terms of ‘conserved informational charges’ which, in turn, define the unitary group.