Locking classical correlation in quantum states
David DiVincenzo, Michal Horodecki, Debbie Leung, John Smolin, Barbara Terhal
Abstract
We show that there exist bipartite quantum states which contain large hidden classical correlation that can be unlocked by a disproportionately small amount of classical communication. In particular, there are
(2n+1)
-qubit states for which a one bit message doubles the optimal classical mutual information between measurement results on the subsystems, from
n/2
bits to
n
bits. States exhibiting this behavior need not be entangled. We study the range of states exhibiting this phenomenon and bound its magnitude.