Completely Positive Maps for Reduced States of Indistinguishable Particles
Quantum Physics
2018-12-06 v2
Abstract
We introduce a framework for the construction of completely positive maps for subsystems of indistinguishable fermionic particles. In this scenario, the initial global state is always correlated, and it is not possible to tell system and environment apart. Nonetheless, a reduced map in the operator sum representation is possible for some sets of states where the only non-classical correlation present is exchange.
Keywords
Cite
@article{arxiv.1807.07175,
title = {Completely Positive Maps for Reduced States of Indistinguishable Particles},
author = {Leonardo da Silva Souza and Tiago Debarba and Diego L. Braga Ferreira and Fernando Iemini and Reinaldo O. Vianna},
journal= {arXiv preprint arXiv:1807.07175},
year = {2018}
}
Comments
9 pages, 2 figures. In this new version we eliminated a section with a mistaken definition of mutual information for indistinguishable particles, which was not relevant for the main argument of our paper