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.
Keywords
Cite
@article{arxiv.1402.0878,
title = {Energy carries Information},
author = {Irfan Ilgin and I-Sheng Yang},
journal= {arXiv preprint arXiv:1402.0878},
year = {2015}
}
Comments
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