MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

MiS Preprint

Multipartite States under Local Unitary Transformations

Sergio Albeverio, Laura Cattaneo, Shao-Ming Fei and Xiao-Hong Wang


The equivalence problem under local unitary transformation for $n$--partite pure states is reduced to the one for $(n-1)$--partite mixed states. In particular, a tripartite system $\mathcal{H}_A\otimes\mathcal{H}_B\otimes\mathcal{H}_C$, where $\mathcal{H}_j$ is a finite dimensional complex Hilbert space for $j=A,B,C$, is considered and a set of invariants under local transformations is introduced, which is complete for the set of states whose partial trace with respect to $\mathcal{H}_A$ belongs to the class of generic mixed states.

Nov 25, 2005
Nov 25, 2005
tripartite quantum states, local unitary transformations, entanglement, invariants

Related publications

2005 Repository Open Access
Sergio Albeverio, Laura Cattaneo, Shao-Ming Fei and Xiao-Hong Wang

Multipartite states under local unitary transformations

In: Reports on mathematical physics, 56 (2005) 3, pp. 341-350