Composition of quantum states and dynamical subadditivity

  title={Composition of quantum states and dynamical subadditivity},
  author={Wojciech Roga and Mark Fannes and Karol Zyczkowski},
We introduce a composition of quantum states of a bipartite system which is based on the reshuffling of density matrices. This non-Abelian product is associative and stems from the composition of quantum maps acting on a simple quantum system. It induces a semi-group in the subset of states with maximally mixed partial traces. Subadditivity of the von Neumann entropy with respect to this product is proved. It is equivalent to subadditivity of the entropy of bistochastic maps with respect to… CONTINUE READING


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