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Advanced Quantum Technologies

Multiparty‐Controlled Joint Remote State Preparation Without Multipartite Entanglement

Hao Jia, Yu‐Guang Yang, Yuechao Wang, Guang‐Bao Xu, Dong‐Huan Jiang, Yi‐Hua Zhou, Wei‐Min Shi

Published Sep 25, 2025• 0 citations
Publisher

Abstract

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.

DOI
10.1002/qute.202500435

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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.
We put forward two novel and perfect protocols for preparing an arbitrary single–particle state and simultaneously implementing a rotation operator or an arbitrary unitary operator on that particle. There are schemes for either only teleporting particles or only remotely controlling quantun particles. If one has to remotely control a prepared quantum, then he/ she has to first do remote state preparation and then executes the remote control on the prepared quantum. Both operations ware done separately on two sets of entanglements. However, this intuitive solution is inefficient because many resources are wasted. Thus, we attempt to complete both operations by sharing one three–particle Greenberger–Horne– Zeilinger (GHZ) state. Comparing our two protocols with the corresponding intuitive solutions, respectively, the results show that our protocols are more efficient than the corresponding intuitive solutions. Only Pauli operators, controlled–NOT gate, Bell–state measurement, single–qubit measurement, Einstein–Podolsky–Rosen (EPR) state and GHZ state are used in our schemes, so these schemes are easily realized in physical experiment.
In this paper, we first propose a remote state preparation (RSP) scheme in the traditional sense, which accomplishes the remote preparation of a single-qubit controlled by multiple agents in the network. This triggers a new RSP scheme, by which we can remotely prepare tensor product-type quantum states controlled by one agent. After that, we generalize the above approach to the RSP scheme of multi-qubit information controlled by multiple agents in the network. In the extended scheme, as long as all agents operate faithfully, the receiver can recover all qubits of information in the original state; otherwise, the scheme fails. Such a scheme entangles quantum information in the preparation process, thus slashing the cost of such quantum resources as auxiliary qubits and local unitary operations, and, meanwhile, reducing the number of classical bits transferred among participants. Finally, we further investigate the remote preparation scheme for multiple qubit-string information under the control of multiple agents in the network.
A novel deterministic joint remote preparation scheme of arbitrary four-particle genuine entangled state from one sender to either of two receivers is proposed. Two three-particle Green-Horne-Zeilinger (GHZ) states and one four-particle GHZ state are used as the quantum channel. The presented scheme is realized through orthogonal projective measurement of the Hadamard transferred basis and recovery operation U|ijk〉. Some useful and general measurement bases have been constructed. The classical communication cost of the presented scheme is also calculated. Our analysis confirms the feasibility and validity of the proposed method, and shows that it has a 100% probability of success in preparation of the target quantum state.
We introduce a multipartite communication scheme, with the aim to enable the senders to remotely and obliviously provide the receivers with an arbitrary amount of multipartite entanglement. The scheme is similar to remote state preparation (RSP). However, we show that even though the receivers are restricted to local unitary operations, the required resources for remote entanglement preparation are less than for RSP. In order to do so we introduce a canonical form of arbitrary multipartite pure states describing an arbitrary number of qubits. Moreover, we show that if the receivers are enabled to perform arbitrary local operations and classical communication, the required resources can drastically be reduced. We employ this protocol to derive robust entanglement purification protocols for arbitrary pure states and show that it can also be used for sending classical information.
We present a strategy for implementing multiparty-controlled remote state preparation (MCRSP) for a family of four-qubit cluster-type states with genuine entanglements while employing, Greenberg-Horne-Zeilinger-class states as quantum channels. In this scenario, the encoded information is transmitted from the sender to a spatially separated receiver via the control of multi-party. Predicated on the collaboration of all participants, the desired state can be entirely restored within the receiver's place with high success probability by application of appropriate local operations and necessary classical communication . Moreover, this proposal for MCRSP can be faithfully achieved with unit total success probability when the quantum channels are distilled to maximally entangled ones.
The quantum equatorial state, a special kind of quantum state, has attracted much attention because of its potential for applications in quantum information processing. The remote preparations of arbitrary two-qudit, three-qudit equatorial and m-qudit equatorial states have been studied via different entangle quantum channels. In this paper, we propose two protocols for the controlled joint remote preparation of an arbitrary m-qudit equatorial state with a pure entangled quantum channel. The first is for the controlled joint remote preparation of the m-qudit equatorial state by using m multiparticle GHZ-class states as the quantum channel, and the second is for the controlled joint remote preparation of the m-qudit equatorial state via a multiparticle entangled state. All senders share information about the prepared state and perform m-particle projective measurements on their entangled particles according to their information about the prepared state. All controllers perform generalized X-basis measurements on their entangled particles. If a receiver cooperates with all the senders and controllers, he can prepare the original state probabilistically by performing unitary operations on his entangled particles and an auxiliary qubit. This protocol is more convenient for applications because it only requires nonmaximal entanglement for the controlled joint remote preparation of an arbitrary m-qudit equatorial state.