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Controlled bidirectional remote state preparation in noisy environment: a generalized view

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Abstract

It is shown that a realistic controlled bidirectional remote state preparation is possible using a large class of entangled quantum states having a particular structure. Existing protocols of probabilistic, deterministic and joint remote state preparation are generalized to obtain the corresponding protocols of controlled bidirectional remote state preparation (CBRSP). A general way of incorporating the effects of two well-known noise processes, the amplitude-damping and phase-damping noise, on the probabilistic CBRSP process is studied in detail by considering that noise only affects the travel qubits of the quantum channel used for the probabilistic CBRSP process. Also indicated is how to account for the effect of these noise channels on deterministic and joint remote state CBRSP protocols.

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Notes

  1. It is sufficient to consider \(|a\rangle \) and \(|b\rangle \) as single qubit states, but it is not essential. One may consider them as two-qubit in particular or n-qubit \((n>1)\) states in general, but that would only introduce additional complexity.

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Acknowledgments

AP thanks Department of Science and Technology (DST), India, for support provided through the DST project No. SR/S2/LOP-0012/2010. He also thanks N. B. An and Kishore Thapliyal for some technical discussions.

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Authors and Affiliations

  1. Indian Institute of Technology Jodhpur, Jodhpur, 342011, Rajasthan, India

    Vishal Sharma & Subhashish Banerjee

  2. Jaypee Institute of Information Technology, A 10, Sector-62, Noida, 201307, UP, India

    Chitra Shukla & Anirban Pathak

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  1. Vishal Sharma
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  2. Chitra Shukla
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  3. Subhashish Banerjee
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Correspondence to Anirban Pathak.

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Sharma, V., Shukla, C., Banerjee, S. et al. Controlled bidirectional remote state preparation in noisy environment: a generalized view. Quantum Inf Process 14, 3441–3464 (2015). https://doi.org/10.1007/s11128-015-1038-5

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  • DOI: https://doi.org/10.1007/s11128-015-1038-5

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