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A uniformly coupled double quantum Hamiltonian for a spin chain has recentlybeen implemented experimentally. We propose a method for the determination ofinitial quantum states that will provide perfect or near-perfect statetransmission for an arbitrary Hamiltonian including this one. By calculatingthe eigenvalues and eigenvectors of a unitary operator obtained from the freeevolution plus an exchange operator, we find that the double quantumHamiltonian spin chain will support a three-spin initial encoding that willtransfer along the chain with remarkably high fidelity. The fidelity is alsofound to decrease very slowly with increasing chain length. In addition, we areable to explain previous results showing exceptional transfer using thismethod.

Quantum states experimentally achieving high-fidelity transmission over a spin chain