MiS Preprint Repository
We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Representation Class and Geometrical Invariants of Quantum States under Local Unitary Transformations
Zuhuan Yu, Xianqing Li-Jost and Shao-Ming FeiAbstract
We investigate the equivalence of bipartite quantum mixed states under local unitary transformations by introducing representation classes from a geometrical approach. It is shown that two bipartite mixed states are equivalent under local unitary transformations if and only if they have the same representation class. Detailed examples are given on calculating representation classes.
- Received:
- 27.08.07
- Published:
- 27.08.07
- PACS:
- 03.67.-a, 02.20.Hj, 03.65.-w
- Keywords:
- Schmidt decomposition, Bipartite mixed state, Local invariant, Representation class