Balance of information in bipartite quantum-communication systems: Entanglement-energy analogy

We adopt the view that information is the primary physical entity possessing objective meaning. Based on two postulates stating that (i) entanglement is a form of quantum information corresponding to internal energy and (ii) sending qubits corresponds to work, we show that in the closed bipartite quantum-communication systems, the information is conserved. We also discuss the entanglement-energy analogy in the context of the Gibbs-Helmholtz-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 the context of information interpretation of quantum states and algorithmic complexity.