TY - JOUR

T1 - Generating GHZ state in 2m-qubit spin network

AU - Jafarizadeh, M. A.

AU - Sufiani, R.

AU - Taghavi, S. F.

AU - Barati, E.

AU - Eghbalifam, F.

AU - Azimi, M.

N1 - 22 pages

PY - 2011/1/31

Y1 - 2011/1/31

N2 - 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 stratification 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 final evolved state is calculated, and finally two examples of four qubit and six qubit states are considered in details.

AB - 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 stratification 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 final evolved state is calculated, and finally two examples of four qubit and six qubit states are considered in details.

KW - quant-ph

U2 - 10.1088/1742-5468/2011/05/P05014

DO - 10.1088/1742-5468/2011/05/P05014

M3 - Article

JO - Journal of statistical mechanics : theory and experiment

JF - Journal of statistical mechanics : theory and experiment

SN - 1742-5468

M1 - P05014

ER -