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Quantum Information Processing

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01-11-2023

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

Author: Hop Nguyen Van

Published in: Quantum Information Processing | Issue 11/2023

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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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Title: The origin of improving the fidelity of the joint remote state preparation of an arbitrary qubit state affected by amplitude-damping noise
Author: Hop Nguyen Van
Publication date: 01-11-2023
Publisher: Springer US
Published in: Quantum Information Processing / Issue 11/2023
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI: https://doi.org/10.1007/s11128-023-04164-1

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