Controlled remote state preparation of single-particle state under noisy channels with memory

We propose a protocol to Mentor initiated hierarchical joint remote prepare the arbitrary n-qudit state with generalized Bell states.The agents share generalized Bell states with the Mentor. The Mentor performs five-qudit projective measurements on his entangled particles to initiate the quantum channel shared by the agents. All the senders share the information of the prepared state and make quantum measurements on their particles based on the state to be prepared. The agent in the upper grade needs only the assistance of one of the agents in the lower grade to reconstruct the original state, while the agents in the lower grade need the assistance of all the other agents to recover the original state. It is more convenient in application than others since the agents in the protocol only requires two-particle entanglement for Mentor initiated hierarchical joint remote preparation of an arbitrary n-qudit state.

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

Mentor initialed multiparty hierarchical joint remote preparation of an arbitrary n-qudit state via generalized Bell states

Jing,

Huang,

et al. 2024

“…In order to enhance the security, joint remote state preparation (JRSP) [4][5][6][7] was proposed where the secret information is shared between two or more senders and the receiver can reconstruct the target state only with the senders' cooperation. Another solution is controlled remote state preparation (CRSP) [8,9] in which one or more supervisors are added. Although the supervisor is not aware of the target state's information, he dictates whether the state can be restored.…”

Section: Introductionmentioning

confidence: 99%

Enhancing hierarchical remote preparation of an arbitrary n-qudit equatorial state by weak measurement and measurement reversal

Yan,

Ma,

Jin

2024

Based on the demand for safer and more efficient quantum network communication, we propose two deterministic protocols to achieve the remote preparation of an arbitrary n-qudit equatorial states among multiple agents by selecting appropriate entanglement resources. The level of the agents varies depending on their authorities to restore the secret state. The superior agent requires the cooperation of the residual superior agents and any one of the subordinate agents, while the subordinate agent needs the help of all the other agents. To be emphasized, the recovery operations are deduced by general formulas that distinctly elucidate their relevance with the measurement outcomes. Additionally, we discuss the impact of amplitude damping noise and utilize weak measurement and measurement reversal to suppress noise.

“…Besides the aforementioned unidirectional QT, bidirectional QT [20,21] and cyclic QT [22][23][24] have been studied. In addition, there exist several notable quantum communication protocols [25][26][27][28][29][30][31] that can facilitate the development of flexible quantum networks.Diverse quantum cryptography schemes, including quantum key distribution [25,26], quantum secure direct communication [27,28], and remote state preparation [29][30][31], have the capability to establish secure communication channels.In these schemes, eavesdropping is rendered impracticable without a high likelihood of causing detectable interference, ensuring the integrity of the transmission.…”

Section: Introductionmentioning

confidence: 99%

Quantum teleportation of shared high-dimensional quantum secret

Peng,

Maihemuti,

Aisan

et al. 2024

Self Cite

We present an innovative approach for quantum teleportation (QT) in a three-dimensional (3D) quantum system, enabling the transmission of 3D quantum information from multiple senders to multiple receivers using a 3D maximally entangled GHZ-type state as a network channel.By substituting the quantum channel with a partially entangled GHZ-type state in a three-dimensional (3D) setting, we obtain an extension of the above scheme in which, when an auxiliary qubit is introduced, the receivers implement a two-particle unitary transformation and some proper 3D Weyl operators to jointly reconstruct the transmitted state with a certain probability and unit fidelity.Subsequently, inspired by the proposed schemes, a protocol for transferring a shared $d$-dimensional ($d$D) quantum state to multiple distant parties by using a $d$D maximally entangled GHZ-type state as quantum channel is presented, and it is generalized to the case of a $d$D partially entangled GHZ-type network channel by introducing an auxiliary qubit and executing a two-particle unitary transformation. Our schemes can relay quantum information over a network without requiring fully trusted central or intermediate nodes, and none of the participants can fully accesses the information.