https://doi.org/10.1140/epjd/e2013-40068-7
Regular Article
A note on state decomposition independent local invariants
1 Max-Planck-Institute for Mathematics
in the Sciences, 04103
Leipzig,
Germany
2 Department of Mathematics, North
Carolina State University, Raleigh, NC
27695,
USA
3 School of Sciences, South China
University of Technology, Guangzhou
510640, P.R.
China
4 School of Mathematical Sciences,
Capital Normal University, Beijing
100048, P.R.
China
a
e-mail: tinggui333@163.com
Received:
6
February
2013
Received in final form:
27
May
2013
Published online:
6
August
2013
We derive a set of invariants under local unitary transformations for arbitrary dimensional quantum systems. These invariants are given by hyperdeterminants and independent from the detailed pure state decompositions of a given quantum state. They also give rise to necessary conditions for the equivalence of quantum states under local unitary transformations.
Key words: Quantum Information
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag 2013
