Balance of information in bipartite quantum-communication systems:Entanglement-energy analogy
Ryszard Horodecki1*, Michal Horodecki1§, and Pawel Horodecki2¶
1Institute of Theoretical Physics and Astrophysics, University of Gdansk, 80-952 Gdansk, Poland
2Faculty of Applied Physics and Mathematics, Technical University of Gdansk, 80-952 Gdansk, Poland
Received 16 February 2000; revised 19 June 2000; published 18 January 2001
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.