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Journal of Jiangxi Normal University

Quantum State Sharing of an Arbitrary Single Qubit State by Using a Genuinely Entangled Six-Qubit State as a Quantum Channel

Ming-huang Sang

Published Jan 1, 2012• 1 citation
OpenAlex

Abstract

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%.

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Chinese Physics B•Sep 1, 2011•1 citation
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%.
Through introducing the new application of a genuinely entangled six-qubit state,quantum information splitting of an arbitrary two-qubit state was investigated.For the quantum information splitting,a genuinely entangled six-qubit state was shared by a sender(Alice),a controller(Charlie) and a receiver(Bob).The sender firstly performed twice Bell-state measurements,and then the controller made a Bell-state measurement.Finally the receiver can reconstruct the arbitrary two-qubit state by performing some appropriate unitary transformations on his qubits after he knew the measured results of both the sender and the controller.This quantum information splitting scheme is deterministic,i.e.the probability of success is 100%.In comparison with the quantum information splitting scheme using the same quantum channel the sender and the controller only need to perform Bell-state measurements,not joint multi-qubit measurement,which makes this scheme simpler and easier,and can be fulfilled based on present experimental technology.
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.
A new application of the genuinely entangled five-qubit state introduced recently by Brownis investi-gated for quantum state sharing(QSTS) of an arbitrary single qubit state.For QSTS,the sender needs to perform four-qubit joint von-Neumann measurement on her qubits,and the controller needs to perform a single-qubit measurement on his qubit,then the receiver can reconstruct the arbitrary single qubit state by performing some appropriately unitary transformations on his qubits after he knows the measured results of both the sender and the controller.The successful probability of the protocol is 100%.
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.
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.
In this paper, we propose a controlled quantum state sharing scheme to share an arbitrary two-qubit state using a five-qubit cluster state and the Bell state measurement. In this scheme, the five-qubit cluster state is shared by a sender (Alice), a controller (Charlie), and a receiver (Bob), and the sender only needs to perform the Bell-state measurements on her particles during the quantum state sharing process, the controller performs a single-qubit projective measurement on his particles, then the receiver can reconstruct the arbitrary two-qubit state by performing some appropriate unitary transformations on his particles after he has known the measured results of the sender and the controller.