Fermionic Quasi-free States and Maps in Information Theory
Quantum Physics
2009-11-13 v1
Abstract
This paper and the results therein are geared towards building a basic toolbox for calculations in quantum information theory of quasi-free fermionic systems. Various entropy and relative entropy measures are discussed and the calculation of these reduced to evaluating functions on the one-particle component of quasi-free states. The set of quasi-free affine maps on the state space is determined and fully characterized in terms of operations on one-particle subspaces. For a subclass of trace preserving completely positive maps and for their duals, Choi matrices and Jamiolkowski states are discussed.
Cite
@article{arxiv.0709.1061,
title = {Fermionic Quasi-free States and Maps in Information Theory},
author = {B. Dierckx and M. Fannes and M. Pogorzelska},
journal= {arXiv preprint arXiv:0709.1061},
year = {2009}
}
Comments
19 pages