Perfect State Transfer: Beyond Nearest-Neighbor Couplings

Physics – Quantum Physics

Scientific paper

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8 pages, 2 figures. Reorganised, more detailed derivations provided and section on rate of information transfer added

Scientific paper

10.1103/PhysRevA.73.032306

In this paper we build on the ideas presented in previous works for perfectly transferring a quantum state between opposite ends of a spin chain using a fixed Hamiltonian. While all previous studies have concentrated on nearest-neighbor couplings, we demonstrate how to incorporate additional terms in the Hamiltonian by solving an Inverse Eigenvalue Problem. We also explore issues relating to the choice of the eigenvalue spectrum of the Hamiltonian, such as the tolerance to errors and the rate of information transfer.

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