Classification of Tripartite Entanglement with one Qubit

Details Classification of Tripartite Entanglement with one Qubit Classification of Tripartite Entanglement with one Qubit

2005-07-04

arxiv.org/abs/quant-ph/0507041v2

Physics

Quantum Physics

Revised version with a new title, a simplification in section III and added references

Scientific paper

10.1103/PhysRevA.73.032314

We present a method to find the decompositions of tripartite entangled pure states which are smaller than two successive Schmidt decompositions. The method becomes very simple when one of the subsystems is a qubit. In this particular case, we get a classification of states according to their decompositions. Furthermore, we also use this method to classify the entangled states that can be inter-converted through stochastic local operations and classical communication (SLOCC). More general tripartite systems are briefly discussed.

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