Simulation of Heisenberg<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>X</mml:mi><mml:mi>Y</mml:mi></mml:mrow></mml:math>interactions and realization of a perfect state transfer in spin chains using liquid nuclear magnetic resonance
Jingfu Zhang(Tsinghua University), Gui Lu Long(Tsinghua University), Wei Zhang(Beijing Normal University), Zhiwei Deng(Beijing Normal University), Wenzhang Liu(Tsinghua University), Zhiheng Lu(Beijing Normal University)
Cited by 112Open Access
Abstract
The three-spin chain with a Heisenberg $XY$ interaction is simulated in a three-qubit nuclear magnetic resonance 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 algorithm proposed by Christandl et al.[Phys. Rev. Lett. 92, 187902 (2004)] is realized in the $XY$ chain.