In a 2000 paper titled "Generalized Schmidt Decomposition and Classification of Three-Quantum-Bit States"[1] Acín et al. described a way of separating out one of the terms of a general tripartite quantum state. This can be useful in considering measures of entanglement of quantum states.

General decomposition

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For a general three-qubit state  there is no way of writing

 

but there is a general transformation to  where  .

References

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  1. ^ Acín, A.; Andrianov, A.; Costa, L.; Jané, E.; Latorre, J. I.; Tarrach, R. (2000-08-14). "Generalized Schmidt Decomposition and Classification of Three-Quantum-Bit States". Physical Review Letters. 85 (7): 1560–1563. doi:10.1103/PhysRevLett.85.1560. hdl:2445/12805. ISSN 0031-9007.