PIRSA:19050023

Video URL

https://pirsa.org/19050023

A Gleason-type theorem for qubits based on mixtures of projective measurements

Wright, V. (2019). A Gleason-type theorem for qubits based on mixtures of projective measurements. Perimeter Institute for Theoretical Physics. https://pirsa.org/19050023

Wright, Victoria. A Gleason-type theorem for qubits based on mixtures of projective measurements. Perimeter Institute for Theoretical Physics, May. 14, 2019, https://pirsa.org/19050023 

          @misc{ scivideos_PIRSA:19050023,
            doi = {10.48660/19050023},
            url = {https://pirsa.org/19050023},
            author = {Wright, Victoria},
            keywords = {Quantum Foundations},
            language = {en},
            title = {A Gleason-type theorem for qubits based on mixtures of projective measurements},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2019},
            month = {may},
            note = {PIRSA:19050023 see, \url{https://scivideos.org/pirsa/19050023}}
          }

Victoria Wright University of York

Talk numberPIRSA:19050023
DOI10.48660/19050023
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

We derive Born’s rule and the density-operator formalism for quantum systems with Hilbert spaces of finite dimension. Our extension of Gleason’s theorem only relies upon the consistent assignment of probabilities to the outcomes of projective measurements and their classical mixtures. This assumption is significantly weaker than those required for existing Gleason-type theorems valid in dimension two.