Composition of quantum states and dynamical subadditivity

Details Composition of quantum states and dynamical subadditivity Composition of quantum states and dynamical subadditivity

2007-06-19

arxiv.org/abs/0706.2791v1

J. Phys. A: Math. Theor. 41 (2008) 035305

Physics

Quantum Physics

25 pages, no figures

Scientific paper

10.1088/1751-8113/41/3/035305

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 their composition, where the entropy of a map is the entropy of the corresponding state under the Jamiolkowski isomorphism. Strong dynamical subadditivity of a concatenation of three bistochastic maps is established. Analogous bounds for the entropy of a composition are derived for general stochastic maps. In the classical case they lead to new bounds for the entropy of a product of two stochastic matrices.

Affiliated with

Also associated with

No associations

Rating

Composition of quantum states and dynamical subadditivity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Composition of quantum states and dynamical subadditivity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Composition of quantum states and dynamical subadditivity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-281718