Key Laboratory of Quantum Structure and Quantum Control of Ministry of Education and Department of Physics, Hunan Normal University, Changsha 410081, China
Abstract This paper considers a generalized spin star system which can be solved exactly, with the central spin-$\dfrac{1}{2}$ system embedded in an outer ring of $N$ spin-$\dfrac{1}{2}$ particles(denoted as spin bath). In this model, in addition to the central-outer interaction, each pair of nearest neighbour of the bath interacts within themselves. The general expressions of the eigenstates as well as the eigenvalues of the model are derived with the use of the symmetries of system. It analyses the quantum state transfer and the dynamical behaviour of entanglement created during quantum communication. It also analyses the efficiency of the configuration regarded as quantum phase covariant clone or decoherence model. Some interesting results are discovered concerning the properties of quantum communication in this model.
Received: 19 April 2007
Revised: 22 June 2007
Accepted manuscript online:
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