An algebraic classification of entangled states

作者：Buniy Roman V^*; Kephart Thomas W

来源：Journal of Physics A-Mathematical and Theoretical, 2012, 45(18): 185304.

DOI：10.1088/1751-8113/45/18/185304

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.

• 出版日期2012-5-11