Extension maps
Quantum Physics
2007-05-23 v1
Abstract
We define extension maps as maps that extend a system (through adding ancillary systems) without changing the state in the original system. We show, using extension maps, why a completely positive operation on an initially entangled system results in a non positive mapping of a subsystem. We also show that any trace preserving map, either positive or negative, can be decomposed in terms of an extension map and a completely positive map.
Keywords
Cite
@article{arxiv.quant-ph/0503119,
title = {Extension maps},
author = {Aik-meng Kuah and E. C. G. Sudarshan},
journal= {arXiv preprint arXiv:quant-ph/0503119},
year = {2007}
}
Comments
6 pages