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Laser Physics Letters

Cyclic quantum state sharing with a nine-qubit entangled state

Yueqi Liu, Gongxuan Zhang

Published Feb 10, 2022• 3 citations
Publisher

Abstract

Abstract In this paper, we present a novel scheme for cyclic quantum state sharing (QSTS) by using a nine-qubit entangled state as quantum channel. In this scheme, each of the three dealers has a different unknown quantum state, and every dealer wants two agents to share his/her quantum state. At the same time, three dealers perform Bell basis measurements on his/her own qubits, and the controllers make a single-qubit measurement on his/her own qubits, after that, the receivers can recover the original states by applying suitable unitary operations, respectively. It is shown that, only if all agents collaborate with each other, the cyclic QSTS can be completed with unit success probability.

DOI
10.1088/1612-202x/ac5042

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Abstract In this paper, we present a novel scheme for cyclic quantum state sharing (QSTS) by using a nine-qubit entangled state as quantum channel. In this scheme, each of the three dealers has a different unknown quantum state, and every dealer wants two agents to share his/her quantum state. At the same time, three dealers perform Bell basis measurements on his/her own qubits, and the controllers make a single-qubit measurement on his/her own qubits, after that, the receivers can recover the original states by applying suitable unitary operations, respectively. It is shown that, only if all agents collaborate with each other, the cyclic QSTS can be completed with unit success probability.
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Owing to the advantages of entanglement, in this work, an efficient and simple quantum sharing of two unknown state (QSTUS) protocol based on a six-qubit entangled state as the quantum channel is proposed. During the procession of the protocol, sender Alleyn possesses two unknown quantum states, at the same time, she wishes her four agents to share her quantum states. Hence, Alleyn implements two Bell basis measurements on her qubits, meanwhile the appointed controllers make a single-qubit measurement on her own qubit. Applying the suitable unitary operations, the state receivers can recover the original states. Analysis shows that only if all agents cooperate with each other, the proposed protocol QSTUS will be realized easily and successfully.
A scheme for quantum state sharing (QSTS) of a one-particle state is proposed for a three-particle GHZ state utilized as a quantum channel. After the sender (Alice) makes Bell-state measurements (BM) on her particles, and the controller (Charlie) performs a computational basis measurement (CM), the recipient (Bob) only needs to carry out a unitary transformation of the classical information from the sender and the controller. Finally, the scheme is generalized to multiparty QSTS of a one-qubit state with n agents and an m-qubit state with n agents.
A scheme for quantum state sharing of an arbitrary single qubit state by using a genuinely entangled six-qubit state as a quantum channel is proposed.Firstly,the sender performs the Bell-state measurement and single qubit measurements on her qubits,respectively.Then any one of the two legitimate agents make a single qubit measurement on his qubit,and the other one(receiver) can reconstruct the original arbitrary single qubit state by performing appropriate unitary operation on his particle.The successful probability of this scheme is 100%.
In this paper, we propose a new version of quantum state sharing (QSTS) scheme of an arbitrary multi-qubit state. Then we extend the scheme to a general form of sharing an arbitrary multi-qudit state in the high-dimensional system. The schemes consider the most general case where an arbitrary quantum state can be shared among an arbitrary number of agents in a symmetric way that any agent can recover the state with the help of the others. Compared with a traditional QSTS scheme sharing an unknown state, our schemes are more efficient since the dealer only needs to perform a simpler measurement and consume less classical communication costs.