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Journal of Jiangxi Normal University

Quantum Information Splitting of an Arbitrary Two-Qubit State by Using Six-Qubit Cluster State

Yi-you Nie

Published Jan 1, 2010• 0 citations
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Abstract

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%.

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Journal of Jiangxi Normal University•Jan 1, 2012•0 citations
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%.
A new application of cluster states is investigated for quantum information splitting (QIS) of an arbitrary three-qubit state. In our scheme, a four-qubit cluster state and a Bell state are shared by a sender (Alice), a controller (Charlie), and a receiver (Bob). Both the sender and controller only need to perform Bell-state measurements (BSMs), the receiver can reconstruct the arbitrary three-qubit state by performing some appropriately unitary transformations on his qubits after he knows the measured results of both the sender and the controller. This QIS scheme is deterministic.
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%.
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 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 scheme is presented for quantum information splitting of an unknown two-particle entangled state by using five-particle cluster state as the quantum channel.The sender(Alice),the receiver(Bob) and the controller(Charlie) share the quantum channel.The sender Alice sends the quantum information to the receiver Bob,anyone can not obtain the quantum information,unless they cooperate with each other.The receiver can reconstruct two-particle entangled state by performing appropriate unitary transformations on his qubits after the sender and controller perform the appropriate measurements on their qubits.respectively.
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%.