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The creation of quantum correlation and entropic uncertainty relation in photonic crystals

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Abstract

We investigate the dynamic creation of quantum correlation and entropic uncertainty relation (EUR) in a system of two non-interacting qubits, which are initially prepared in a classically correlated state and subject to the independent radiation in an isotropic or anisotropic photonic bandgap (PBG) crystal environment. It is shown that the detuning condition and environmental structure play a crucial role in controlling the emergence of geometric quantum discord (GQD) and one-norm GQD. In addition, the remarkable similarities and differences for quantum correlation in two PBG environments are also analyzed in detail. Finally, we explore the time evolution of EUR in our model under the influence of PBG environment and present some interesting results.

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Acknowledgments

This work was supported by the Natural Science Foundation of China under Grants Nos. 11105087, 61275210, 11275118, 11404198 and Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi (STIP) under Grant No. 2014102.

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Authors and Affiliations

  1. Institute of Theoretical Physics, Shanxi University, Taiyuan, 030006, Shanxi, China

    Xue-Min Bai, Ning Wang, Jun-Qi Li & J.-Q. Liang

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  1. Xue-Min Bai
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Correspondence to Jun-Qi Li.

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Bai, XM., Wang, N., Li, JQ. et al. The creation of quantum correlation and entropic uncertainty relation in photonic crystals. Quantum Inf Process 15, 2771–2784 (2016). https://doi.org/10.1007/s11128-016-1299-7

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