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The origin of improving the fidelity of the joint remote state preparation of an arbitrary qubit state affected by amplitude-damping noise

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Abstract

The averaged quantum fidelity (AQF) of the joint remote state preparation (JRSP) of an arbitrary qubit state affected by an amplitude-damping noise environment (ADNE) is expressed only in terms of the entanglement measure (EM), namely the channel EM and the EMs of the channel qubits with the noise environment. The origin of improving the AQF by choosing the appropriate free parameter of the channel’s initial state (IS) is identified. Compared to the IS of the channel, which is the maximally entangled state (MES), the improved AQF is not due to the amount of remaining entanglement of the channel, although this amount of entanglement increases the average fidelity of the protocol over classical. The improved AQF when choosing the channel’s IS as the optimal state is due to the sum of the squares of the EMs of the channel qubits with the environment, although this sum reduces protocol fidelity. When the noise strength (NS) acting on the qubits is equal, which protocol has the greater optimal AQF is shown.

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Acknowledgements

This work is supported by the Vietnam Ministry of Education and Training under Grant Number B2022-SPH-16.

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  1. Faculty of Physics, Hanoi National University of Education, 136 Xuan Thuy, Cau Giay, Hanoi, 10000, Vietnam

    Hop Nguyen Van

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Nguyen Van, H. The origin of improving the fidelity of the joint remote state preparation of an arbitrary qubit state affected by amplitude-damping noise. Quantum Inf Process 22, 414 (2023). https://doi.org/10.1007/s11128-023-04164-1

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