Conditions for manipulation of a set of entangled pure states

Zhang, Chuan-Wei; Li, Chuan-Feng; Guo, Guang-Can

Conditions for manipulation of a set of entangled pure states

Authors

Zhang, Chuan-Wei

Li, Chuan-Feng

Guo, Guang-Can

Description

We derive a sufficient condition for a set of pure states, each entangled in two remote $N$-dimensional systems, to be transformable to $k$-dimensional-subspace equivalent entangled states ($k\leq N$) by same local operations and classical communication. If $k=N$, the condition is also necessary. This condition reveals the function of the relative marginal density operators of the entangled states in the entanglement manipulation without sufficient information of the initial states.
5 Pages, no Figure, REVTeX. The generalization of quant-ph/9908018