LIU Li-Guo1,2, TIAN Cheng-Lin1, CHEN Ping-Xing1, YUAN Nai-Chang2
1Department of Physics, National University of Defense Technology, Changsha 4100732Institute of Electronic Science and Engineering, National University of Defense Technology, Changsha 410073
A Lower Bound on Concurrence
LIU Li-Guo1,2, TIAN Cheng-Lin1, CHEN Ping-Xing1, YUAN Nai-Chang2
1Department of Physics, National University of Defense Technology, Changsha 4100732Institute of Electronic Science and Engineering, National University of Defense Technology, Changsha 410073
摘要We derive an analytical lower bound on the concurrence for bipartite quantum systems with an improved computable cross norm or realignment criterion and an improved positive partial transpose criterion respectively. Furthermore we demonstrate that our bound is better than that obtained from the local uncertainty relations criterion with optimal local orthogonal observables which is known as one of the best estimations of concurrence.
Abstract：We derive an analytical lower bound on the concurrence for bipartite quantum systems with an improved computable cross norm or realignment criterion and an improved positive partial transpose criterion respectively. Furthermore we demonstrate that our bound is better than that obtained from the local uncertainty relations criterion with optimal local orthogonal observables which is known as one of the best estimations of concurrence.
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2009, Vol. 26 
