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Quantum coding in non-inertial frames

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Abstract

The quantum and classical correlations are quantified by means of the coherent and mutual information, respectively, where we use the single-mode approximation. It is shown that the users can communicate in an optimal way for small values of accelerations. The capacity of accelerated channel is investigated for different classes of initial states. It is shown that the capacities of the traveling channels depend on the frame in which the accelerated channels are observed in and the initial shared state between the partners. In some frames, the capacities decay as the accelerations of both qubit increase. The decay rate is larger if the partners initially share a maximum entangled state. The possibility of using the accelerated quantum channels to perform quantum coding protocol is discussed. The amount of decoded information is quantified for different cases, where it decays as the partner’s accelerations increase to reach its minimum bound. This minimum bound depends on the initial shared states, and it is large for maximum entangled state.

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Acknowledgments

We are grateful to the referees for their constructive comments and remarks, which have improved the manuscript in many aspects.

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Authors and Affiliations

  1. Mathematics Department, Faculty of Science, Aswan University, Aswân, Egypt

    Nasser Metwally & Alaa Sagheer

  2. Mathematics Department, College of Science, University of Bahrain, P.O. Box 32038, Sakhir, Kingdom of Bahrain

    Nasser Metwally

  3. Center for Artificial Intelligence and Robotics (CAIRO), Mathematics Department, Aswan, Egypt

    Alaa Sagheer

Authors
  1. Nasser Metwally
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  2. Alaa Sagheer
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Correspondence to Nasser Metwally.

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Metwally, N., Sagheer, A. Quantum coding in non-inertial frames. Quantum Inf Process 13, 771–780 (2014). https://doi.org/10.1007/s11128-013-0688-4

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  • DOI: https://doi.org/10.1007/s11128-013-0688-4

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