Le contenu de cette page n’est pas disponible en français. Veuillez nous en excuser.
 

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



Playing this video requires the latest flash player from Adobe.

Download link (right click and 'save-as') for playing in VLC or other compatible player.


Recording Details

Scientific Areas: 
Collection/Series: 
PIRSA Number: 
19050023

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.