Simulating all non-signalling correlations via classical or quantum theory with negative probabilities
arXiv:1301.2170 · doi:10.1103/PhysRevLett.111.170403
Abstract
Many-party correlations between measurement outcomes in general probabilistic theories are given by conditional probability distributions obeying the non-signalling condition. We show that any such distribution can be obtained from classical or quantum theory, by relaxing positivity constraints on either the mixed state shared by the parties, or the local functions which generate measurement outcomes. Our results apply to generic non-signalling correlations, but in particular they yield two distinct quasi-classical models for quantum correlations.
6 pages
References in corpus (6)
- A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations
- Recovering part of the quantum boundary from information causality
- Implausible Consequences of Superstrong Nonlocality
- Deriving quantum theory from its local structure and reversibility
- Tsirelson's bound from a Generalised Data Processing Inequality
- Nonsignaling as the consistency condition for local quasi classical probability modelling of a general multipartite correlation scenario
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