Speaker
Martin Hebenstreit
(University of Innsbruck)
Description
We consider entanglement in the three partite system consisting of a qubit, an $m$-level and an $n$-level system. In particular, we use tools introduced in [1] to characterize entanglement transformations under stochastic local operations and classical communication (SLOCC). We find evidence indicating that the following picture is true. In case $m=n$, generic states belong to one of infinitely many SLOCC classes. Surprisingly, in case $m \neq n$, generic states belong to one single SLOCC class only. Furthermore, we show that any generic state is convertible to any other generic state of lower dimension.
[1] E. Chitambar, C.A. Miller, and Y. Shi, J. Math. Phys. 51, 072205 (2010)
Authors
Mariami Gachechiladze
(University of Siegen)
Martin Hebenstreit
(University of Innsbruck)
Otfried Gühne
(University of Siegen)
Barbara Kraus
(University of Innsbruck)
