https://doi.org/10.1140/epjd/e2008-00162-7
Bounds on bipartitely shared entanglement reduced from superposed tripartite quantum states
Department of Physics, Dalian University of Technology, Dalian 116024, P.R.
China
Corresponding author: a quaninformation@sina.com
Received:
12
June
2008
Revised:
11
July
2008
Published online:
20
August
2008
For a tripartite pure state superposed by two individual
states, the bipartitely shared entanglement can always be achieved
by local measurements of the third party. Consider the different
aims of the third party, i.e. maximizing or minimizing the
bipartitely shared entanglement, we find bounds on both the possible
bipartitely shared entanglement of the superposition state in terms
of the corresponding entanglement of the two states being
superposed. In particular, by choosing the concurrence as bipartite
entanglement measure, we obtain calculable bounds for tripartite
-dimensional cases.
PACS: 03.65.Ud – Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.) / 03.67.Mn – Entanglement measures, witnesses, and other characterizations / 03.65.Ta – Foundations of quantum mechanics; measurement theory
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008
