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Bounds on relative entropy of entanglement for multi-party systems

M B Plenio1 and V Vedral1,2

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We present upper and lower bounds to the relative entropy of entanglement of multi-party systems in terms of the bi-partite entanglements of formation and distillation and entropies of various subsystems. We point out implications of our results to the local reversible convertibility of multi-party pure states and discuss their physical basis in terms of deleting information.


PACS

03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)

03.65.Ta Foundations of quantum mechanics; measurement theory

03.67.Mn Entanglement measures, witnesses, and other characterizations

MSC

94A15 Information theory, general (See also 62B10)

94A17 Measures of information, entropy

Subjects

Computational physics

Quantum information and quantum mechanics

Dates

Issue 35 (7 September 2001)

Received 24 October 2000, in final form 2 March 2001

Published 24 August 2001



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