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arXiv:0806.0506 · Physics Letters A

High-probability quantum state transfer in an alternating open spin chain with an XY Hamiltonian

E. I. Kuznetsova, Alexander Ivanovich Zenchuk

Published Aug 23, 2008• 18 citations
arXivHTMLPDF
DOI
10.1016/j.physleta.2008.08.033

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This paper concerns the problem of the high probability state transfer (HPST) among different nodes of the chains of 1/2-spins with the ${XXZ}$ Hamiltonian. This effect is possible due to the suitably distributed weak bonds in the chain. We show that the arbitrary initial state may be transfered with the high probability to any node of the four-node chain with strong end bonds. Varying bonds in the six-node chain one can provide the HPSTs among two end nodes and two symmetrically placed inner nodes. We also construct the eight-node chain with the HPSTs among all of them.

•Sep 11, 2008•0 citations
A method for exactly diagonalizing the XY Hamiltonian of an alternating open chain of spins s = 1/2 has been proposed on the basis of the Jordan-Wigner transformation and analysis of the dynamics of spinless fermions. The multiple-quantum spin dynamics of alternating open chains at high temperatures has been analyzed and the intensities of multiple-quantum coherences have been calculated. The problem of the transfer of a quantum state from one end of the alternating chain to the other is studied. It has been shown that the ideal transfer of qubits is possible in alternating chains with a larger number of spins than that in homogeneous chains.
We extend the picture of a transfer of nuclear spin-1/2 polarization along a homogeneous one-dimensional chain with the XY Hamiltonian to the inhomogeneous chain with alternating nearest neighbor couplings and alternating Larmor frequencies. To this end, we exactly calculate the spectrum of the spin-1/2 XY Hamiltonian of the alternating chain with an odd number of sites. The exact spectrum of the XY Hamiltonian is also applied to study the multiple quantum (MQ) NMR dynamics of the alternating spin-1/2 chain. MQ NMR spectra are shown to have the MQ coherences of zero and ± second orders just as in the case of a homogeneous chain. The intensities of the MQ coherences are calculated.
High-Probability Quantum State Transfer between nodes of an Open Chain of 1/2 Spins with XXZ{XXZ}XXZ Hamiltonian
This paper concerns the problem of the high probability state transfer (HPST) among different nodes of the chains of 1/2-spins with the XXZ{XXZ}XXZ Hamiltonian. This effect is possible due to the suitably distributed weak bonds in the chain. We show that the arbitrary initial state may be transfered with the high probability to any node of the four-node chain with strong end bonds. Varying bonds in the six-node chain one can provide the HPSTs among two end nodes and two symmetrically placed inner nodes. We also construct the eight-node chain with the HPSTs among all of them.