We study the role of average concurrence in entanglement swapping quantum networks. begin with qubit pure states, and there is a very simple rule governing propagation multiple swaps. find similarly for when creating Greenberger-Horne-Zeilinger state from three entangled pairs. look at examples mixed states that relation gives an upper bound on what possible states. then move to qudits, where w...

Abstract The holographic entropy cone identifies entanglement entropies of field theory regions, which are consistent with representing semiclassical spacetimes under gauge/gravity (holographic) duality. It is currently known up to five regions. Here we point out that average p -partite subsystems can be similarly analyzed for arbitrarily many We conjecture the simplicial and specify all its bo...

might hold (the authors of [6] claim that (4) has been tested by Ibstedt in the range x S 5 . 106 in [4J. Although I have read [4J carefully, I found no trace of the aforementioned computation!). In this note, we show that -I x is indeed the correct order of magnitude of ogx A(x). For any positive real number x let 7I"(x) be the number of prime numbers less then or equal to x, B(x) = xA(x) = 2:...

X and Y are random variables. Person P X knows X , Person P Y knows Y , and both know the joint probability distribution of the pair (X; Y). Using a predetermined protocol, they communicate over a binary, error-free, channel in order for P Y to learn X. P X may or may not learn Y. How many information bits must be transmitted (by both persons) on the average? At least H (XjY) bits must be trans...