Concurrence and a proper monogamy inequality for arbitrary quantum states

Details Concurrence and a proper monogamy inequality for arbitrary quantum states Concurrence and a proper monogamy inequality for arbitrary quantum states

2007-11-19

arxiv.org/abs/0711.2865v2

Phys. Rev. A 78, 012311 (2008)

Physics

Quantum Physics

4 pages, Theorem 2 was rephrased

Scientific paper

10.1103/PhysRevA.78.012311

We obtain an analytical lower bound of entanglement quantified by concurrence for arbitrary bipartite quantum states. It is shown that our bound is tight for some mixed states and is complementary to the previous known lower bounds. On the other hand, it is known that the entanglement monogamy inequality proposed by Coffman, Kundu, and Wootters is in general not true for higher dimensional quantum states. Inducing from the new lower bound of concurrence, we find a proper form of entanglement monogamy inequality for arbitrary quantum states.

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