“School of Particles And Accelerator”

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Paper   IPM / Particles And Accelerator / 11876
School of Particles and Accelerator
  Title:   Generating a GHZ state in 2m-qubit spin network
1.  Mohammad Ali Jafarizadeh
2.  Rahimeh Sufiani
3.  Seyed Farid Taghavi
4.  Ehsan Barati
5.  F. Eghbalifam
6.  M. Azimi
  Status:   Published
  Journal: J.Stat. Mech: Theory and Experiments
  Vol.:  P05014
  Year:  2011
  Supported by:  IPM
We consider a pure 2m-qubit 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 four-qubit and six-qubit states are considered in detail

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