Chin. Phys. Lett.  2020, Vol. 37 Issue (11): 110302    DOI: 10.1088/0256-307X/37/11/110302
Mutual Restriction between Concurrence and Intrinsic Concurrence for Arbitrary Two-Qubit States
A-Long Zhou , Dong Wang*, Xiao-Gang Fan , Fei Ming , and Liu Ye*
School of Physics & Material Science, Anhui University, Hefei 230601, China
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A-Long Zhou , Dong Wang, Xiao-Gang Fan  et al  2020 Chin. Phys. Lett. 37 110302
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Abstract Concurrence is viewed as the most commonly approach for quantifying entanglement of two-qubit states, while intrinsic concurrence contains concurrence of four pure states consisting of a special pure state ensemble concerning an arbitrary two-qubit state. Thus, a natural question arises: Whether there is a specified relation between them. We firstly examine the relation between concurrence and intrinsic concurrence for the maximally nonlocal mixed state under a special unitary operation, which is not yet rigorously proved. In order to obtain a general result, we investigate the relation between concurrence and intrinsic concurrence using randomly generated two-qubit states, and derive an inequality relation between them. Finally, we take into account the relation between concurrence and intrinsic concurrence in open systems, and reveal the ratio of the two quantum resources, which is only correlated with the experiencing channels.
Received: 08 July 2020      Published: 08 November 2020
PACS:  03.67.-a (Quantum information)  
  03.67.Hk (Quantum communication)  
  03.65.Ta (Foundations of quantum mechanics; measurement theory)  
Fund: Supported by the National Science Foundation of China (Grant Nos. 12075001, 61601002 and 11575001), the Anhui Provincial Natural Science Foundation (Grant No. 1508085QF139), and the Fund from CAS Key Laboratory of Quantum Information (Grant No. KQI201701).
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A-Long Zhou 
Dong Wang
Xiao-Gang Fan 
Fei Ming 
and Liu Ye
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