Unitarity as preservation of entropy and entanglement in quantum systems
Abstract
The logical structure of Quantum Mechanics (QM) and its relation to other fundamental principles of Nature has been for decades a subject of intensive research. In particular, the question whether the dynamical axiom of QM can be derived from other principles has been often considered. In this contribution, we show that unitary evolutions arise as a consequences of demanding preservation of entropy in the evolution of a single pure quantum system, and preservation of entanglement in the evolution of composite quantum systems.
Keywords
Cite
@article{arxiv.quant-ph/0407118,
title = {Unitarity as preservation of entropy and entanglement in quantum systems},
author = {Florian Hulpke and Uffe V. Poulsen and Anna Sanpera and Aditi Sen De and Ujjwal Sen and Maciej Lewenstein},
journal= {arXiv preprint arXiv:quant-ph/0407118},
year = {2009}
}
Comments
To be submitted to the special issue of Foundations of Physics on the occassion of the seventieth birthday of Emilio Santos. v2: 10 pages, no figures, RevTeX4; Corrected and extended version, containing new results on consequences of entanglement preservation