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arXiv:quant-ph/0002068

Conditions for manipulation of a set of entangled pure states

Chuanwei Zhang, Chuan‐Feng Li, Guang‐Can Guo

Published Feb 24, 2000• 0 citations
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Abstract

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.

DOI
10.48550/arxiv.quant-ph/0002068

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We derive a sufficient condition for a set of pure states, each entangled in two remote NNN-dimensional systems, to be transformable to kkk-dimensional-subspace equivalent entangled states (k≤Nk\leq Nk≤N) by same local operations and classical communication. If k=Nk=Nk=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.
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