Lower Bound of Concurrence and Distillation for Arbitrary Dimensional Bipartite Quantum States

Abstract

We present a lower bound of concurrence for arbitrary dimensional bipartite quantum states. This lower bound may be used to improve all the known lower bounds of concurrence. Moreover, the lower bound gives rise to an operational sufficient criterion of distillability of quantum entanglement. The significance of our result is illustrated by quantitative evaluation of entanglement for entangled states that fail to be identified by the usual concurrence estimation method, and by showing the distillability of mixed states that can not be recognized by other distillability criteria.

5 pages

References in corpus (7)

• Concurrence of arbitrary dimensional bipartite quantum states
• Optimal entanglement criterion for mixed quantum states
• Lower bounds on concurrence and separability conditions
• Optimal entanglement witnesses based on local orthogonal observables
• Separability criteria and bounds for entanglement measures
• Concurrence and a proper monogamy inequality for arbitrary quantum states
• Lower Bound of Concurrence Based on Positive Maps

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