Entropy and entanglement in polymer quantization
General Relativity and Quantum Cosmology
2013-09-30 v2 High Energy Physics - Theory
Quantum Physics
Abstract
Polymer quantization is as a useful toy model for the mathematical aspects of loop quantum gravity and is interesting in its own right. Analyzing entropies of physically equivalent states in the standard Hilbert space and the polymer Hilbert space we show that they converge in the limit of vanishing polymer scale. We derive a general bound that relates entropies of physically equivalent states in unitarily inequivalent representations.
Cite
@article{arxiv.1209.3087,
title = {Entropy and entanglement in polymer quantization},
author = {Tommaso F. Demarie and Daniel R. Terno},
journal= {arXiv preprint arXiv:1209.3087},
year = {2013}
}
Comments
12 pages, we have rewritten Section 3, improved the notation and updated the bibliography. This manuscript has been accepted for publication on Class. Quantum Grav