Real randomized measurements for analyzing properties of quantum states

• URL: http://arxiv.org/abs/2411.06013v1
• Date: Fri, 08 Nov 2024 23:35:56 GMT
• Title: Real randomized measurements for analyzing properties of quantum states
• Authors: Jin-Min Liang, Satoya Imai, Shuheng Liu, Shao-Ming Fei, Otfried Gühne, Qiongyi He,
• Abstract summary: We introduce two simplified randomized measurements that limit rotations in a subspace of the complex space. We show that these measurement protocols exhibit different abilities in capturing correlations of bipartite systems. We explore various applications of RRMs and PRRMs in different quantum information tasks such as characterizing high-dimensional entanglement, quantum imaginarity, and predicting properties of quantum states with classical shadow.
• Score: 1.6492989697868894
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• Abstract: Randomized measurements are useful for analyzing quantum systems especially when quantum control is not fully perfect. However, their practical realization typically requires multiple rotations in the complex space due to the adoption of random unitaries. Here, we introduce two simplified randomized measurements that limit rotations in a subspace of the complex space. The first is \textit{real randomized measurements} (RRMs) with orthogonal evolution and real local observables. The second is \textit{partial real randomized measurements} (PRRMs) with orthogonal evolution and imaginary local observables. We show that these measurement protocols exhibit different abilities in capturing correlations of bipartite systems. We explore various applications of RRMs and PRRMs in different quantum information tasks such as characterizing high-dimensional entanglement, quantum imaginarity, and predicting properties of quantum states with classical shadow.

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