JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (11): 127-134.doi: 10.6040/j.issn.1671-9352.0.2015.218

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The influences of quantum channels on the generalized robustness of entanglement

WANG Xiao-xia, CAO Huai-xin*, ZHA Liao   

  1. School of Mathematics and Information Science, Shaanxi Normal University, Xian 710062, Shaanxi, China
  • Received:2015-05-12 Online:2016-11-20 Published:2016-11-22

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Abstract: Based on the fact that the set of all separable states is a convex-closed set, it is proved that the infimum in the definition of the generalized robustness of entanglement(GRoE)can be attained; second, it is illustrated that a convex combination of two generalized optimal states of a state is still a generalized optimal state and the GRoE is a lower semi-continuous function on the set of all quantum states of a mult-partite system; lastly, necessary and sufficient conditions for a quantum channel to decrease(resp. increase, maintain)the GRoE of all quantum states were obtained. Final, as applications, some existing results were derived.

Key words: entanglement state, generalized robustness of entanglement, generalized relative robustness of entanglement, quantum channel, separable state

CLC Number: 

  • O177.1
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