PIRSA:11050029

Entanglement and the three-dimensionality of the Bloch sphere

Masanes, L. (2011). Entanglement and the three-dimensionality of the Bloch sphere. Perimeter Institute. https://pirsa.org/11050029

Masanes, Lluis. Entanglement and the three-dimensionality of the Bloch sphere. Perimeter Institute, May. 09, 2011, https://pirsa.org/11050029 

          @misc{ pirsa_PIRSA:11050029,
            doi = {10.48660/11050029},
            url = {https://pirsa.org/11050029},
            author = {Masanes, Lluis},
            keywords = {Quantum Foundations},
            language = {en},
            title = {Entanglement and the three-dimensionality of the Bloch sphere},
            publisher = {Perimeter Institute},
            year = {2011},
            month = {may},
            note = {PIRSA:11050029 see, \url{https://pirsa.org}}
          }

Lluis Masanes

University College London

Talk number
PIRSA:11050029
Collection
Talk Type
Subject
Abstract
We consider theories that satisfy: information causality, reversibility, local discriminability, all tight effects are measurable. A property of these theories is that binary systems (with two perfectly distinguishable states and no more) have state spaces with the shape of a unit ball (the Bloch ball) of arbitrary dimension. It turns out that for dimension different than three these systems cannot be entangled. Hence, the only theory with entanglement which satisfying the above assumptions is quantum theory.