5 papers · 1 filter
A missing causal principle: Coordination
Daniel Centeno, Antoine Coquet, Maria Ciudad Alañón +3
We introduce the coordination principle, which states that perfect coordination, in the form of agreement on a uniformly random output, among N parties is possible only if they sha…
Coordination Requires a Common Cause in Quantum Theory
Daniel Centeno, Antoine Coquet, Maria Ciudad Alañón +3
We propose a novel causal principle that is a genuinely multipartite extension of Reichenbach's common cause principle, namely, the coordination principle: parties in a network can…
Certifying Randomness or its Lack Thereof for General Network Scenarios
Maria Ciudad Alañón, Daniel Centeno, Andrew Watford +1
The certification of intrinsic randomness is foundational to quantum information theory and central in many practical applications thereof, such as in the generation of unquestiona…
Upper Bounding Hilbert Space Dimensions which can Realize all the Quantum Correlations
Yasamin Panahi, Maria Ciudad Alañón, Daniel Centeno +4
We introduce novel upper bounds on the Hilbert space dimensions required to realize quantum correlations in Bell scenarios. We start by considering bipartite cases wherein one of t…
Fully quantum inflation: quantum marginal problem constraints in the service of causal inference
Isaac D. Smith, Elie Wolfe, Robert W. Spekkens
Consider the problem of deciding, for a particular multipartite quantum state, whether or not it is realizable in a quantum network with a particular causal structure. This is a fu…