TY - JOUR
AB - To identify which principles characterize quantum correlations, it is essential to understand in which sense this set of correlations differs from that of almost-quantum correlations. We solve this problem by invoking the so-called no-restriction hypothesis, an explicit and natural axiom in many reconstructions of quantum theory stating that the set of possible measurements is the dual of the set of states. We prove that, contrary to quantum correlations, no generalized probabilistic theory satisfying the no-restriction hypothesis is able to reproduce the set of almost-quantum correlations. Therefore, any theory whose correlations are exactly, or very close to, the almost-quantum correlations necessarily requires a rule limiting the possible measurements. Our results suggest that the no-restriction hypothesis may play a fundamental role in singling out the set of quantum correlations among other nonsignaling ones.
AU - Sainz, Ana Belen
AU - Guryanova, Yelena
AU - Acin, Antonio
AU - Navascues, Miguel
DA - 2018/05/18/
DO - 10.1103/PhysRevLett.120.200402
IS - 20
JF - Physical Review Letters
PY - 2018
SE - 2018/05/18/
SP - 200402
TI - Almost-Quantum Correlations Violate the No-Restriction Hypothesis
UR - https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.120.200402
VL - 120
ER -