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Classification of GHZ-type, W-type and GHZ-W-type multiqubit entanglements

Lin Chen·Yi-Xin Chen
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Abstract

We propose the concept of SLOCC-equivalent basis (SEB) in the multiqubit space. In particular, two special SEBs, the GHZ-type and the W-type basis are introduced. They can make up a more general family of multiqubit states, the GHZ-W-type states, which is a useful kind of entanglement for quantum teleporatation and error correction. We completely characterize the property of this type of states, and mainly classify the GHZ-type states and the W-type states in a regular way, which is related to the enumerative combinatorics. Many concrete examples are given to exhibit how our method is used for the classification of these entangled states.

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Lin Chen, Yi-Xin Chen. 2006-05-23. Classification of GHZ-type, W-type and GHZ-W-type multiqubit entanglements. https://doi.org/10.1103/physreva.74.062310

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