Splitting Quantum States

Timothy C. Ralph, Thomas Symul, Ping Koy Lam +3 more

Sreraman Muralidharan, Prasanta Kumar Panigrahi

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.

Shan Gao

Zhao Hu

To study the entanglement properties of multipartite quantum states,a class of states in the tripartite quantum systems was constructed.Using the properties of the partitioned matrix,the positive matrix and the diagonally dominant matrix,applying the range criterion,the separable criterion,the structure and the partial transpositions of their density matrices were analyzed.The research shows that the states are entangled for the splits A-BC and B-AC,separable for the split AB-C.Therefore it can be concluded that the states are bound entangled for the splits A-BC and B-AC,separable with respect to the split AB-C,and finally the entanglement properties of any bipartite splits of the tripartite states are provided.

Vikram Verma

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.