“School of Particles”
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Paper IPM / Particles / 11876  


Abstract:  
We consider a pure 2mqubit initial state to evolve under a particular quantum mechanical 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 distribution and stratification associated with the
graphs employed in Jafarizadeh and Sufiani (2008 Phys. Rev. A 77 022315),a maximally entangled GHZ state is generated between the antipodes of the
network. In fact, an algorithm is given for determining 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 entanglement of the final evolved state is calculated, and finally two examples of fourqubit and sixqubit states are considered in detail
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