Operational entanglement measures and state transformations (Katharina Schwaiger, MSc)
Jan 10, 2018
14:00 - 15:00
Institute for Theoretical Physics, Universität Innsbruck, Austria
New Lecture Hall, Room B 0.32
MPQ, Theory Division
Entanglement is the resource to overcome the natural limitations of spatially separated parties restricted to Local Operations assisted by Classical Communication (LOCC).
any function which qualifies and quantifies entanglement has to be
non-increasing under LOCC. We introduce two classes of operational entanglement
measures, i.e. the source and accessible entanglement. Whereas the
source entanglement measures from how many states the state of interest can be
obtained via LOCC, the accessible entanglement measures how many states can be
reached via LOCC from the state at hand. We consider here pure bipartite as
well as multipartite states and derive explicit formulae for these measures.
Moreover, we apply a state-conversion based
characterization of the mode-entanglement of Gaussian fermionic states (GFS).
More precisely, we derive a standard form of mixed n-mode n-partite GFS up to
Gaussian local unitaries and show that there exist no non-trivial Gaussian LOCC
transformations among pure states. Thus, we investigate the richer classes of
Gaussian stochastic and fermionic LOCC. This allows us to show how to identify
the maximally entangled set (MES) of GFS, which is the multipartite
generalization of the bipartite maximally entangled state.