Quantum State Transfer and Network Engineering by Georgios M. Nikolopoulos & Igor Jex

Author:Georgios M. Nikolopoulos & Igor Jex
Language: eng
Format: epub
Publisher: Springer Berlin Heidelberg, Berlin, Heidelberg

4.3 Perfect State Transfer in a Chain with a Spin-Non-Preserving Interaction

When two Hamiltonian models reveal similarities in the behaviour of information fluxes, one can map some of the results known for one to the other. As a striking example, we compare a spin-non-preserving interaction with the Hamiltonian already analysed in Ref. [3]. In this way, the main result obtained for the latter, i.e. the possibility to achieve perfect state transfer, is shown to be valid also for the former model. In the analysis of spin chain systems, spin-preserving Hamiltonian models (for which the interaction commutes with , so the number of spin excitations is conserved) have been frequently studied, applying usual techniques to find the exact spectrum [5]. When, however, the Hamiltonian does not preserve the total number of excited spins, an investigation from an information flux viewpoint shows the full potential of the method in tackling the evolution of the system [6]. This is possible because our method does not rely on the explicit analysis of the chain’s spectrum and enables us to gather an intuitive picture of the dynamics at hand. The system considered here is the open N-qubit Ising model

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