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Smooth manifold structure for extreme channels
Raban Iten, Roger Colbeck
A quantum channel from a system of dimension to a system of dimension is a completely positive trace-preserving map from complex to $d_B\times d…
Quantum Circuits for Quantum Channels
Raban Iten, Roger Colbeck, Matthias Christandl
We study the implementation of quantum channels with quantum computers while minimizing the experimental cost, measured in terms of the number of Controlled-NOT (C-NOT) gates requi…
Non-Shannon inequalities in the entropy vector approach to causal structures
Mirjam Weilenmann, Roger Colbeck
A causal structure is a relationship between observed variables that in general restricts the possible correlations between them. This relationship can be mediated by unobserved sy…
Inability of the entropy vector method to certify nonclassicality in linelike causal structures
Mirjam Weilenmann, Roger Colbeck
Bell's theorem shows that our intuitive understanding of causation must be overturned in light of quantum correlations. Nevertheless, quantum mechanics does not permit signalling a…