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Journal of Jiangxi Normal University

Quantum State Sharing of an Arbitrary Single State by Using a Genuinely Entangled Five-Qubit State

Ming-huang Sang

Published Jan 1, 2011• 0 citations
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Abstract

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%.

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Journal of Jiangxi Normal University•Jan 1, 2012•0 citations
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%.
A new application of the six-qubit cluster state introduced recently by Lu Chao-yang is investigated for quantum information splitting(QIS) of an arbitrary two-qubit state.For QIS,the sender needs to perform five-qubit joint von-Neumann measurement on her qubits,and the controller needs to perform a single-qubit projective measurement on his qubit,then the receiver can reconstruct the arbitrary two-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 probability of success of the program is 100%.
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.
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.
A new scheme for controlled teleportation of an arbitrary single-qubit state is proposed in detail,using a six-qubit cluster state as quantum channel.For an arbitrary single-qubit state,the sender performs a joint von Neumann measurement on the five qubits of his own,and the controller performs a single-qubit projective measurement,then the receiver can reconstruct the arbitrary single-qubit state by performing some appropriately unitary transformations on his qubit after he knows the measurement results of both the sender and the controller.The probability of the success of the program is 100%.
A scheme of quantum teleportation of an arbitrary two-qubit state by using a five-qubit cluster state as the quantum channel is proposed.In the scheme,the sender needs to perform five-qubit joint von-Neumann measurement on her qubits,the receiver can reconstruct the arbitrary two-qubit by performing some appropriately unitary transformations on his qubits after he knows the measured results of the sender.This teleportation scheme is deterministic,and the probability of successful teleportation is 100%.