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PIRSA:11050029

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https://pirsa.org/11050029

Entanglement and the three-dimensionality of the Bloch sphere

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

Lluis Masanes University College London

Talk numberPIRSA:11050029
DOI10.48660/11050029
Source RepositoryPIRSA
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Talk Type Conference
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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.