Generating GHZ state in 2m-qubit spin network

Details Generating GHZ state in 2m-qubit spin network Generating GHZ state in 2m-qubit spin network

2011-01-31

arxiv.org/abs/1101.6040v1

Physics

Quantum Physics

22 pages

Scientific paper

We consider a pure 2m-qubit initial state to evolve under a particular quantum me- chanical spin Hamiltonian, which can be written in terms of the adjacency matrix of the Johnson network J(2m;m). Then, by using some techniques such as spectral dis- tribution and strati?cation associated with the graphs, employed in [1, 2], a maximally entangled GHZ state is generated between the antipodes of the network. In fact, an explicit formula is given for the suitable coupling strengths of the hamiltonian, so that a maximally entangled state can be generated between antipodes of the network. By using some known multipartite entanglement measures, the amount of the entanglement of the ?nal evolved state is calculated, and ?nally two examples of four qubit and six qubit states are considered in details.

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