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Robustness of Measurement–Induced Correlations Under Decoherence Effect

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Abstract

In this article, we study the dynamics of quantum correlation measures such as entanglement and measurement–induced nonlocality (MIN). Starting from an arbitrary Bell-diagonal mixed state under Markovian local noise such as bit-phase flip, depolarizing and generalized amplitude damping channel, we provide the decays of the entanglement measured by concurrence and quantum correlation captured by different forms of MIN (trace distance, Hilbert–Schmidt norm and relative entropy) as a function of the decoherence parameters. The effect of local noises on the dynamical behaviors of quantum correlation is also observed. We show the existence of specific and important features of MIN such as revival, noise robustness and sudden change with respect to decoherence parameter. It is observed that all the noises cause sudden death of entanglement for partially entangled states. Further, we show the existence of separable quantum states with non-zero quantum correlations in terms of MIN.

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Acknowledgements

Authors thank the reviewer for his critical comments to improve the contents of the paper. SB and RR thank the Council of Scientific and Industrial Research (CSIR), Government of India for the financial support under Grant No. 03(1456)/19/EMR-II. RR also wishes to thank DAE-NBHM for the financial support under the scheme 02011/3/20/2020-R&D-II. RM acknowledges the financial support from the Council of Scientific and Industrial Research (CSIR), Government of India, under Grant No. 03(1444)/18/EMR-II.

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Authors and Affiliations

  1. Centre for Nonlinear Science (CeNSc), Government College for Women (A), Kumbakonam, 612 001, Tamil Nadu, India

    S. Bhuvaneswari & R. Radha

  2. Centre for Nonlinear Science & Engineering, School of Electrical, Electronics Engineering, SASTRA Deemed University, Thanjavur, Tamil Nadu, 613 401, India

    R. Muthuganesan

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  1. S. Bhuvaneswari
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  2. R. Muthuganesan
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  3. R. Radha
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Correspondence to R. Radha.

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Bhuvaneswari, S., Muthuganesan, R. & Radha, R. Robustness of Measurement–Induced Correlations Under Decoherence Effect. Int J Theor Phys 60, 2145–2155 (2021). https://doi.org/10.1007/s10773-021-04830-z

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