Extension maps

Details Extension maps Extension maps

2005-03-12

arxiv.org/abs/quant-ph/0503119v1

Physics

Quantum Physics

6 pages

Scientific paper

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.

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