Abstract Multiparty‐controlled joint remote state preparation (MCJRSP) enables multiple senders to jointly prepare an arbitrary state for a distant receiver via the control of multiple agents within a quantum network. The multipartite Greenberger–Horne–Zeilinger (GHZ) state is commonly employed as a key resource in MCJRSP protocols. However, the depth requirements of unitary circuits for GHZ state preparation and the unreliable long‐distance distribution of GHZ states limit the practical applications of these MCJRSP tasks under current conditions. To overcome these limitations, a practical MCJRSP scheme is presented for remotely preparing arbitrary single‐particle state without GHZ states. This scheme is further extended to remote preparation of arbitrary multi‐particle state. The performance of the protocol is analyzed under certain types of noise, and compare it with existing GHZ‐state‐based protocols. The results indicate that the protocol exhibits superior robustness under noisy conditions when preparing multi‐particle states. Moreover, it requires fewer quantum resources and does not necessitate classical communication. Additionally, the protocol offers a unique advantage: it can tolerate an arbitrary number of non‐responsive agents. This study provides a more feasible and efficient approach for realizing MCJRSP in long‐distance quantum communication networks.
By using some techniques such as spectral distribution and stratification associated with the graphs, employed in [1,2] for the purpose of Perfect state transfer (PST) of a single qubit over antipodes of distance-regular spin networks and PST of a
d-level quantum state over antipodes of pseudo-distance regular networks, PST of an m-qubit GHZ state is investigated. To do so, we employ the particular distance-regular networks (called Johnson networks) J(2m,m) to transfer an m-qubit GHZ state initially prepared in an arbitrary node of the network (called the reference node) to the corresponding antipode, perfectly. Keywords: Perfect state transferenc, GHZ states, Johnson network, Stratification, Spectral distribution PACs Index: 01.55.+b, 02.10.Yn