Bounds on bipartitely shared entanglement reduced from superposed tripartite quantum states
Department of Physics, Dalian University of Technology, Dalian 116024, P.R.
Corresponding author: a firstname.lastname@example.org
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