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TELKOMNIKA Indonesian Journal of Electrical Engineering

Quantum State Sharing of An Arbitrary Three-qubit State Using Two Four-qubit Cluster States

Ting Zhang, Xiu-Li Tu, Xianming Wang, Xin-Wei Zha

Published May 1, 2013• 1 citation
Publisher

Abstract

A scheme of quantum state sharing(QSTS) an arbitrary three-qubit state is presented using two particular four-qubit cluster state as the quantum channel. With four Bell pairs state measurements and the local unitary operation, any one of the two agents has the access to reconstruct the original if he/she collaborates with the other one. DOI:  http://dx.doi.org/10.11591/telkomnika.v11i5.2566 Full Text: PDF

DOI
10.11591/telkomnika.v11i5.2566

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A scheme of quantum state sharing(QSTS) an arbitrary three-qubit state is presented using two particular four-qubit cluster state as the quantum channel. With four Bell pairs state measurements and the local unitary operation, any one of the two agents has the access to reconstruct the original if he/she collaborates with the other one. DOI:  http://dx.doi.org/10.11591/telkomnika.v11i5.2566 Full Text: PDF
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.
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.
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%.
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.
We propose several schemes for the joint remote preparation of four-qubit cluster-type states with real coefficients and complex coefficients by using six Einstein–Podolsky–Rosen (EPR) pairs and two six-qubit entangled states as quantum channels respectively. In these schemes, two senders share the original state which they wish to help the receiver to remotely prepare. It is shown that, only if two senders collaborate with each other, and perform four-qubit projective measurements on their own qubits respectively, the receiver can reconstruct the original state by means of some appropriate unitary operations.