Marcio F. Cornelio, A. F. R. de Toledo Piza
Published 2005-07-04, updated 2005-10-12Version 2
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.
Comments: Revised version with a new title, a simplification in section III and added references
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Classification of Bipartite and Tripartite Qutrit Entanglement under SLOCC
