Hierarchical remote preparation with multiple agents under the non-Markovian and Markovian noises

Kunpeng Kang, Songya Ma and Siyi Li

Physica A: Statistical Mechanics and its Applications, 2024, vol. 642, issue C

Abstract: To meet the practical needs that the capabilities of agents in a quantum communication network are often different, we propose two deterministic schemes to achieve hierarchical remote preparation of an arbitrary single-qubit state by using cluster state as the entangled resource. One requires splitting the coefficients of the prepared state and the other does not due to the elaborately constructed measurement basis. The high-grade agent requires the help of all the other high-grade agents and any one of the low-grade agents to reconstruct the target state, while the low-grade agent needs the assistance of all the remaining agents. Comparing with the original scheme, ours are applicable to any number of agents and derive general expressions of recovery operators which clearly reveal the relationship with the measurement results. Moreover, the influences of diverse types of non-Markovian and Markovian noises are considered through calculating the fidelity of the output state.

Keywords: Hierarchical remote state preparation; Quantum communication network; Cluster state; Non-Markovian and Markovian noises; Fidelity (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:642:y:2024:i:c:s0378437124002644

DOI: 10.1016/j.physa.2024.129755

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