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Relating intrinsic concurrence to quantum steering and its application in teleportation for three-qubit states

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Abstract

We investigate the relation between intrinsic concurrence and quantum steering and also apply the former in teleportation for three-qubit states. It is found that the sum of the squares of the bipartite reduced intrinsic concurrences for an arbitrary three-qubit state is upper bounded by 3/2. The triples of intrinsic concurrence and quantum steering of bipartite reduced states obtained from a three-qubit pure state maintain the same ordering. Moreover, the bipartite intrinsic concurrence greater than \(\sqrt{2}/2\) will result in the corresponding two-qubit reduced state being steerable. Subsequently, a complementary relation between intrinsic concurrence and quantum steering is given for a three-qubit pure state. In the end, it is concluded that, for three-qubit pure states, the greater intrinsic concurrence of the two-qubit reduced state is, the more useful it is for quantum teleportation. These results indicate that intrinsic concurrence closely relates to quantum correlations and has important applications in quantum information processing tasks.

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Acknowledgements

The work was supported by the Fundamental Research Funds for the Central Universities under Grant No. 2020ZDPYMS03.

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  1. School of Materials Science and Physics, China University of Mining and Technology, Xuzhou, 221116, People’s Republic of China

    Liang Qiu

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Qiu, L. Relating intrinsic concurrence to quantum steering and its application in teleportation for three-qubit states. Quantum Inf Process 23, 71 (2024). https://doi.org/10.1007/s11128-024-04276-2

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