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Hybrid bidirectional quantum communication protocol of two single-qubit states under noisy channels with memory

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Abstract

In this paper, we discuss a protocol for remote preparation and transfer of a known and an unknown state between two parties, respectively. It is a bidirectional hybrid protocol consisting of teleportation from one end and remote state preparation from the other end. Firstly, we describe a protocol for the above purpose using a five-qubit pure entangled state as a quantum channel. After that, we consider the effect of correlated Pauli noise on the protocol. Particularly, we consider bit-flip noise, bit-phase-flip noise, phase-damping noise, depolarizing noise and two-Pauli noise, all of which are with memory. We present an analysis of the fidelity with variations of certain involved parameters. Our findings qualitatively agree with the finding of several existing works that fidelity can be improved if the correlation parameter can be properly chosen. Also, we construct a quantum circuit for the preparation of our quantum resource and execute the circuit on IBM qasm simulator.

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Acknowledgements

This work is supported by Indian Institute of Engineering Science and Technology, Shibpur, India. The valuable suggestions of the reviewers are gratefully acknowledged.

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  1. Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur B. Garden, Howrah, West Bengal, 711103, India

    Manoj Kumar Mandal, Binayak S. Choudhury & Soumen Samanta

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  1. Manoj Kumar Mandal
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  2. Binayak S. Choudhury
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  3. Soumen Samanta
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Mandal, M.K., Choudhury, B.S. & Samanta, S. Hybrid bidirectional quantum communication protocol of two single-qubit states under noisy channels with memory. Quantum Inf Process 22, 406 (2023). https://doi.org/10.1007/s11128-023-04165-0

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