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Simulation of a Heisenberg XY- chain and realization of a perfect state transfer algorithm using liquid nuclear magnetic resonance

Jingfu Zhang·Gui Lu Long·Wei Zhang·Zhiwei Deng·Wenzhang Liu·Zhiheng Lu
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Abstract

The three- spin chain with Heisenberg XY- interaction is simulated in a three- qubit nuclear magnetic resonance (NMR) quantum computer. The evolution caused by the XY- interaction is decomposed into a series of single- spin rotations and the $J$- coupling evolutions between the neighboring spins. The perfect state transfer (PST) algorithm proposed by M. Christandl et al [Phys. Rev. Lett, 92, 187902(2004)] is realized in the XY- chain.

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Jingfu Zhang, Gui Lu Long, Wei Zhang, Zhiwei Deng, Wenzhang Liu, Zhiheng Lu. 2005-03-31. Simulation of a Heisenberg XY- chain and realization of a perfect state transfer algorithm using liquid nuclear magnetic resonance. https://doi.org/10.1103/physreva.72.012331

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