Concurrence classes for general pure multipartite states

Abstract

We propose concurrence classes for general pure multipartite states based on an orthogonal complement of a positive operator valued measure on quantum phase. In particular, we construct $W^m$ class, $GH{Z}^m$, and $GH{Z}^{m-1}$ class concurrences for general pure $m$-partite states. We give explicit expressions for $W^3$ and $GH{Z}^3$ class concurrences for general pure three-partite states and for $W^4$, $GH{Z}^4$, and $GH{Z}^3$ class concurrences for general pure four-partite states.

14 pages