On balance of information in bipartite quantum communication systems:   entanglement-energy analogy
  We adopt the view according to which information is the primary physical entity that posseses objective meaning. Basing on two postulates that (i) entanglement is a form of quantum information corresponding to internal energy (ii) sending qubits corresponds to work, we show that in the closed bipartite quantum communication systems the information is conserved. We also discuss entanglement-energy analogy in context of the Gibbs-Hemholtz-like equation connecting the entanglement of formation, distillable entanglement and bound entanglement. Then we show that in the deterministic protocols of distillation the information is conserved. We also discuss the objectivity of quantum information in context of information interpretation of quantum states and alghoritmic complexity. 
Ryszard Horodecki, Michal Horodecki and Pawel Horodecki