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Uncertainty relations from simple entropic properties
Patrick J. Coles, Roger Colbeck, Li Yu +1
Uncertainty relations provide constraints on how well the outcomes of incompatible measurements can be predicted, and, as well as being fundamental to our understanding of quantum…
Unification of different views of decoherence and discord
Patrick J. Coles
Macroscopic behavior such as the lack of interference patterns has been attributed to "decoherence", a word with several possible definitions such as (1) the loss of off-diagonal d…
Relative entropy derivation of the uncertainty principle with quantum side information
Patrick J. Coles, Li Yu, Michael Zwolak
We give a simple proof of the uncertainty principle with quantum side information, as in [Berta et al. Nature Physics 6, 659 (2010)], invoking the monotonicity of the relative entr…
Non-negative discord strengthens the subadditivity of quantum entropy functions
Patrick J. Coles
The definition of quantum discord is generalized to allow for any concave entropy function, and its non-negativity strengthens the subadditivity condition for that entropy function…