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An interferometric complementarity experiment in a bulk Nuclear Magnetic Resonance ensemble

Xinhua Peng·Xiwen Zhu·Ximing Fang·Mang Feng·Maili Liu·Kelin Gao
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Abstract

We have experimentally demonstrated the interferometric complementarity, which relates the distinguishability $D$ quantifying the amount of which-way (WW) information to the fringe visibility $V$ characterizing the wave feature of a quantum entity, in a bulk ensemble by Nuclear Magnetic Resonance (NMR) techniques. We primarily concern on the intermediate cases: partial fringe visibility and incomplete WW information. We propose a quantitative measure of $D$ by an alternative geometric strategy and investigate the relation between $D$ and entanglement. By measuring $D$ and $V$ independently, it turns out that the duality relation $D^{2}+V^{2}=1$ holds for pure quantum states of the markers.

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Xinhua Peng, Xiwen Zhu, Ximing Fang, Mang Feng, Maili Liu, Kelin Gao. 2003-01-21. An interferometric complementarity experiment in a bulk Nuclear Magnetic Resonance ensemble. https://doi.org/10.1088/0305-4470%2F36%2F10%2F315

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