Energy carries Information

Abstract

We show that for every qubit of quantum information, there is a well-defined notion of "the amount of energy that carries it", because it is a conserved quantity. This generalizes to larger systems and any conserved quantites: the eigenvalue spectrum of conserved charges has to be preserved while transferring quantum information. It is possible to "apparently" violate these conservations by losing a small fraction of information, but that must invoke a specific process which requires a large scale coherence. We discuss its implication regarding the black hole information paradox.

version 2, 5 pages, no figures: We thank Douglas Stanford for pointing out a technical mistake in Section III of the previous version. We rewrote that section and partially Section IV. We also made the footnotes appear correctly

References in corpus (2)

• Black holes as mirrors: quantum information in random subsystems
• The Physics of Maxwell's demon and information

Cited by in corpus (6)

• Cold Black Holes in the Harlow-Hayden Approach to Firewalls
• Secret Loss of Unitarity due to the Classical Background
• Towards an information description of space-time
• Probing the Information-Probabilistic Description
• The Firewall Paradox
• The bimetric model with an informational metric tensor