PIRSA: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. https://pirsa.org/19050023

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

          @misc{ pirsa_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},
            year = {2019},
            month = {may},
            note = {PIRSA:19050023 see, \url{https://pirsa.org}}
          }

Victoria Wright

University of York

Talk number
PIRSA:19050023
Collection
Talk Type
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.