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arXiv:0802.0781 · Physical Review A

Quantum-information splitting using multipartite cluster states

Sreraman Muralidharan, Prasanta Kumar Panigrahi

Published Dec 18, 2008• 204 citations
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Abstract

We provide various schemes for the splitting up of quantum information into parts using four- and five-partite cluster states. Explicit protocols for the quantum information splitting (QIS) of single- and two-qubit states are illustrated. It is found that the four-partite cluster state can be used for QIS of an entangled state and the five-partite cluster state can be used for QIS of an arbitrary two-qubit state. The schemes considered here are also secure against certain eavesdropping attacks.

DOI
10.1103/physreva.78.062333

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We provide various schemes for the splitting up of quantum information into parts using four- and five-partite cluster states. Explicit protocols for the quantum information splitting (QIS) of single- and two-qubit states are illustrated. It is found that the four-partite cluster state can be used for QIS of an entangled state and the five-partite cluster state can be used for QIS of an arbitrary two-qubit state. The schemes considered here are also secure against certain eavesdropping attacks.
We propose an explicit scheme for splitting up quantum information into parts using five-atom cluster states in cavity quantum electrodynamics (QED). It is found that the quantum information splitting of an arbitrary two-atomic state can be realized by using the five-atom cluster state. During the process, the cavity fields are excited only virtually. The scheme is insensitive to cavity decay. Therefore, the scheme can be experimentally realized using a range of current cavity QED techniques. The schemes considered here are also secure against certain eavesdropping attacks.
We provide explicit schemes for quantum information splitting (QIS) of real or equatorial two qubit states among two parties, through the five particle cluster and Brown states respectively. The schemes introduced are neither fully deterministic nor completely probabilistic and are carried out in the case where, the information that is to be shared is partially or fully known to the sender. We show that, QIS can be accomplished with just two classical bits, as against four classical bits, when the information is unknown to the sender.
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.
Quantum information splitting (QIS) provides an idea for transmitting the quantum state through a classical channel and a preshared quantum entanglement resource. This paper presents a new scheme for QIS based on a five-qubit cluster state and a Bell state. In this scheme, the sender transmits the unknown three-qubit secret state to two agents by the quantum channel with the Bell basis measurement three times and broadcasts the measurement results to the agents through the classical channel. The agent who restores the secret state can successfully recover the initial information to be transmitted through the appropriate unitary operation with the help of the other party. Firstly, our scheme's process can be accurately realized by performing the applicable Bell basis measurement, single-qubit measurement, and local unitary operation instead of a multiparticle joint measurement. The splitting process of quantum information is realized through a convenient operation. Secondly, compared with some previous schemes, the efficiency of the total scheme has been improved in principle, and the qubit consumption is reduced. Finally, the security of the quantum information splitting scheme is analyzed from the perspectives of external attacks and participant attacks. It is proved that our scheme can effectively resist internal participant attacks and external eavesdropper attacks.
Abstract In quantum information processing, it is essential to ensure the security of quantum information so that it cannot be stolen and interrupted by an eavesdropper. For ensuring the security of information, quantum information splitting (QIS) method is used in which quantum communication is made more secure by splitting the quantum information among the various quantum nodes within a quantum network in such a way that any one node can retrieve the quantum information completely with the collaboration of remaining quantum nodes. In this paper, by using Bell states as the quantum channel we present a simple and precise scheme for quantum information splitting of an arbitrary single-qubit quantum information state among N (N ≥ 2) recipient nodes which are separately entangled with the sender node only and not with one another. We also generalize our scheme to the splitting of multi-qubit quantum information state among the N recipient nodes by using 2-qubit Bell states as the quantum resource. In comparison to the previous existing QIS schemes which require multi-qubit entangled states as the quantum resource, our proposed QIS scheme is very simple and feasible.