Entanglement of Assistance

Authors:
David P. DiVincenzo;Christopher A. Fuchs;Hideo Mabuchi;John A. Smolin;Ashish V. Thapliyal;Armin Uhlmann
Affiliations:
-;-;-;-;-;-
Venue:
QCQC '98 Selected papers from the First NASA International Conference on Quantum Computing and Quantum Communications
Year:
1998

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Abstract

The newfound importance of "entanglement as a resource" in quantum computation and quantum communication behooves us to quantify it in as many distinct ways as possible. Here we explore a new quantification of entanglement of a general (mixed) quantum state for a bipartite system, which we name entanglement of assistance. We show it to be the maximum of the average entanglement over all ensembles consistent with the density matrix describing the bipartite state. With the help of lower and upper bounds we calculate entanglement of assistance for a few cases and use these results to show the surprising property of superadditivity. We believe that this may throw some light on the question of additivity of entanglement of formation.