RT Journal Article
T1 Entanglement and the three-dimensionality of the Bloch ball
A1 Masanes, Lluís
A1 Müller, M.P.
A1 Pérez García, David
A1 Augusiak, Remigiusz
AB We consider a very natural generalization of quantum theory by letting the dimension of the Bloch ball be not necessarily three. We analyze bipartite state spaces where each of the components has a d-dimensional Euclidean ball as state space. In addition to this, we impose two very natural assumptions: the continuity and reversibility of dynamics and the possibility of characterizing bipartite states by local measurements. We classify all these bipartite state spaces and prove that, except for the quantum twoqubit state space, none of them contains entangled states. Equivalently, in any of these non-quantum theories, interacting dynamics is impossible. This result reveals that "existence of entanglement" is the requirement with minimal logical content which singles out quantum theory from our family of theories
PB American Institute of Physics
SN 0022-2488
YR 2014
FD 2014-12
LK https://hdl.handle.net/20.500.14352/33781
UL https://hdl.handle.net/20.500.14352/33781
LA eng
NO CatalunyaCaixa
NO EU ERC Advanced Grant NLST
NO EU Qessence projec
NO Templeton Foundation
NO FQXi large grant project "Time and the structure of quantum theory"
NO AQUTE
NO TOQATA
NO Spanish MINECO
DS Docta Complutense
RD 8 abr 2025