Document Type
Article
Publication Date
2012
Abstract
We provide a classification of entangled states that uses new discrete entanglement invariants. The invariants are defined by algebraic properties of linear maps associated with the states. We prove a theorem on a correspondence between the invariants and sets of equivalent classes of entangled states. The new method works for an arbitrary finite number of finite-dimensional state subspaces. As an application of the method, we considered a large selection of cases of three subspaces of various dimensions. We also obtain an entanglement classification of four qubits, where we find 27 fundamental sets of classes.
Recommended Citation
Buniy, R.V., & Kephart, T.W. (2012). An algebraic classification of entangled states. Journal of Physics A, 45(18). doi: 10.1088/1751-8113/45/18/185304
Peer Reviewed
1
Copyright
IOP Publishing Ltd.
Comments
This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Journal of Physics A, volume 45, issue 18, 2012 following peer review. The definitive publisher-authenticated version is available online at DOI: 10.1088/1751-8113/45/18/185304 .