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The concealment of accelerated information is possible

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Abstract

The possibility of masking an accelerated two-qubit system by using a minimum number of qubits is discussed. It is shown that the information may be masked in either entangled local states or product non-local separable states. We examine that each partition of these states satisfies the masking conditions. Due to the presence of non-local separable partition, one may consider that it is a type of quantum data hiding scheme. The local/non-local information encoded in the masked entangled state is robust against the decoherence of the acceleration process. The possibility of estimating the acceleration parameter via the entangled/separable masked state increases as the initial entanglement value increases. The efficiency of the masking process is examined by quantifying the fidelity of the accelerated state and its subsystems. It is shown that the fidelity of the masked state is maximum at small initial acceleration, while the minimum fidelity is more than 96%.

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Acknowledgements

We would like to thank the referee for their reports which have improved our results. This work is supported by the Academy of Scientific research and Technology (ASRT), Egypt ScienceUp Grant No. 6538.

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Authors and Affiliations

  1. Department of Basic Science, Faculty of Computers and Informatics, Suez Canal University, Ismailia, 41522, Egypt

    A. G. Abdelwahab & M. H. Mahran

  2. Department of Mathematics, Faculty of Science, Suez Canal University, Ismailia, 41522, Egypt

    S. A. Ghwail

  3. Department of Mathematics, College of Science, University of Bahrain, Sakhuir, Hamad Town, 320038, Bahrain

    Nasser Metwally

  4. Department of Mathematics, Faculty of Science, Aswan University, Aswan, Sahari, 81528, Egypt

    Nasser Metwally

  5. Mathematics Department, Faculty of Science, Al-Azhar University, Nasr City, Cairo, 11884, Egypt

    A. -S. F. Obada

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  1. A. G. Abdelwahab
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  3. Nasser Metwally
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Correspondence to Nasser Metwally.

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Abdelwahab, A.G., Ghwail, S.A., Metwally, N. et al. The concealment of accelerated information is possible. Quantum Inf Process 20, 71 (2021). https://doi.org/10.1007/s11128-021-03009-z

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