Experimental construction of generic three-qubit states and their reconstruction from two-party reduced states on an NMR quantum information processor
Experimental construction of generic three-qubit states and their reconstruction from two-party reduced states on an NMR quantum information processor
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DOI：
10.1103/physreva.91.022312
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发表时间：
2015-02-17
影响因子：
2.9
通讯作者：
Arvind
中科院分区：
文献类型：
--
作者：
Dogra, Shruti;Dorai, Kavita;Arvind
我们在核磁共振（NMR）量子信息处理器上实验探索了三个量子比特的状态空间。我们构造了一个方案来实验实现一般三量子位态到单量子位一元态的规范形式。这种形式涉及三个量子位的greenberger - horn - zeilinger （GHZ）和w型最大纠缠态的非平凡组合。作为特殊情况，我们为一般状态构建的一般电路简化为GHZ和W状态的电路。对一组非平凡的参数进行了一般状态的实验构建，并通过完全状态层析验证了制备的良好保真度。GHZ态和W态是一般实验方案的特例。此外，我们通过实验证明了关于三量子位态的一个奇怪的事实，对于几乎所有的纯态，两个量子位的简化态可以用来重建完整的三个量子位态。对于一般状态和W状态，我们通过将其与直接层析成像的三量子位态进行比较来证明这种重建方法。
We experimentally explore the state space of three qubits on a nuclear magnetic resonance (NMR) quantum-information processor. We construct a scheme to experimentally realize a canonical form for general three-qubit states up to single-qubit unitaries. This form involves a nontrivial combination of Greenberger-Horne-Zeilinger (GHZ) and W-type maximally entangled states of three qubits. The general circuit that we have constructed for the generic state reduces to those for GHZ and W states as special cases. The experimental construction of a generic state is carried out for a nontrivial set of parameters and the good fidelity of preparation is confirmed by complete state tomography. The GHZ and W states are constructed as special cases of the general experimental scheme. Further, we experimentally demonstrate a curious fact about three-qubit states, where for almost all pure states, the two-qubit reduced states can be used to reconstruct the full three-qubit state. For the case of a generic state and for the W state, we demonstrate this method of reconstruction by comparing it to the directly tomographed three-qubit state.