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Modern Physics Letters A

Quantum sharing of two unknown single-qubit states by using a six-qubit entangled state

Yueqi Liu, Gongxuan Zhang

Published Apr 20, 2022• 0 citations
Publisher

Abstract

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.

DOI
10.1142/s0217732322500754

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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.
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.
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 novel scheme for quantum two-state sharing (QTSS) by using a five-qubit entangled state as the quantum channel. In this scheme, a dealer Alice has two unknown quantum states and wants her three agents to share the quantum states. After the dealer performs a four-qubit measurement on her qubits, and the controller employs a single-qubit measurement on his own qubit, the state receivers can reconstruct the original states by using the appropriate unitary operations. It is shown that, only if all agents collaborate with each other, the QTSS can be completed with unit success probability.
We present an efficient scheme for sharing an arbitrary m-qubit state with n agents. In our scheme, the sender Alice first shares m Bell states with the agent Bob, who is designated to recover the original m-qubit state. Furthermore, Alice introduces n − 1 auxiliary particles in the initial state |0⟩, applies Hadamard (H) gate and Controlled-Not (CNOT) gate operations on the particles, which make them entangled with one of m particle pairs in Bell states, and then sends them to the controllers (i.e., other n − 1 agents), where each controller only holds one particle in hand. After Alice performing m Bell-basis measurements and each controller a single-particle measurement, the recover Bob can obtain the original unknown quantum state by applying the corresponding local unitary operations on his particles. Its intrinsic efficiency for qubits approaches 100%, and the total efficiency really approaches the maximal value.
Two schemes for quantum secret sharing of single-qubit state were proposed.A symmetric threequbit entangled state and an asymmetric three-qubit entangled state were used as quantum channel,respectively. The sender performs Bell-basis measurements on her particles,and the cooperator operates single-particle measurements on his particles,then the state receiver can reconstruct the original state by applying the appropriate unitary operation.The schemes can also be generalized to the case of arbitrary two-qubit and multi-particle entangled state.The security against certain eavesdropping attacks is also considered.These protocols are considered to be secure.
We propose a scheme for sharing an arbitrary unknown two-qubit state among three parties by using a four-qubit cluster-class state and a Bell state as a quantum channel. With a quantum controlled phase gate (QCPG) operation and a local unitary operation, any one of the two agents has the access to reconstruct the original state if he/she collaborates with the other one, whilst individual agent obtains no information. As all quantum resource can be used to carry the useful information, the intrinsic efficiency of qubits approaches the maximal value. Moreover, the present scheme is more feasible with present-day technique.