Perfect Transfer of Entangled States on Spin Chain

Abstract

Current researches have shown that perfect states transfer over arbitrary distances is possible for a simple unmodulated spin chain by some schemes. The transfer of a single qubit state has been investigated in detail by Christandl et al. [Phys. Rev. Lett. 92, 187902(2004)] through a modified Heisenberg XX model Hamiltonian H G . The previous study of Christandl is restricted to the first-excitation states of H G (i.e., which correspond to the second subspace of the Hilbert space of H G ). In this work, we extend their study to the case of the high-excitation states, and find that the entangled states in such a form, | ψ 〉 = α | 00⋯ 0〉 + β | 11⋯ 1〉, can be perfectly transfered on the spin chain.