Liquid Nuclear Magnetic Resonance Implementation of Quantum Computation in Subspace

Yao Xi-Wei, Xue Fei, Pang Wen-Min, Jiangfeng Du, Zhou Xian-Yi, Rongdian Han · Chinese Physics Letters · 2006

Based on the logical labelling method, we prepare an effective pure state in a subsystem of a three spin system via liquid nuclear magnetic resonance technique. Then with this subspace effective pure state we implement the Deutsch–Jozsa algorithm. The tomography for the subspace effective pure state and the corresponding spectrum of the output for the Deutsch–Jozsa algorithm agree with theoretical predictions, which shows that we have successfully implemented the Deutsch–Jozsa algorithm in a subsystem of a nuclear spin system and demonstrated a subspace quantum computation.

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