PIRSA:15040064

Quantum Measurements from a Logical Point of View

Brunet, O. (2015). Quantum Measurements from a Logical Point of View. Perimeter Institute. https://pirsa.org/15040064

Brunet, Olivier. Quantum Measurements from a Logical Point of View. Perimeter Institute, Apr. 21, 2015, https://pirsa.org/15040064 

          @misc{ pirsa_PIRSA:15040064,
            doi = {10.48660/15040064},
            url = {https://pirsa.org/15040064},
            author = {Brunet, Olivier},
            keywords = {Quantum Foundations},
            language = {en},
            title = {Quantum Measurements from a Logical Point of View},
            publisher = {Perimeter Institute},
            year = {2015},
            month = {apr},
            note = {PIRSA:15040064 see, \url{https://pirsa.org}}
          }

Olivier Brunet Lycee Vaucanson

DOI 10.48660/15040064
Collection
Talk Type Scientific Series
Subject

Abstract

We present a formal logic modeling some aspects of the behavior of the quantum measurement process, and study some properties of the models of this logic, from which we deduce some characteristics that any such model should verify. In the case of a Hilbert space of dimension at least 3, we then show that no model can lead to the prediction with certainty of more than one atomic outcome. Moreover, if the Hilbert space is finite dimensional, we can precisely describe the structure of the predictions of any model of our logic. As a consequence, we also prove that all the models of our logic make exactly the same predictions regarding whether a given sequence of outcomes is possible.