Implementation of Entanglement Witnesses with Quantum Circuits

Shu‐Qian Shen, Xin‐Qi Gao, Rui‐Qi Zhang, Ming Li, Shao‐Ming Fei
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Abstract

Entanglement witnesses are economical tools for the experimental detection of quantum entanglement. Quantum algorithms for entanglement detection have recently attracted considerable attention. Based on block encoding techniques and state preparation methods, the implementation of several types of entanglement witnesses using quantum circuits without quantum state tomography is proposed. Further, explicit quantum circuits for the block encoding of some special matrices are presented.
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用量子电路实现纠缠见证
纠缠见证是量子纠缠实验检测的经济工具。用于纠缠检测的量子算法最近引起了广泛关注。基于块编码技术和状态准备方法,我们提出了在不使用量子态断层扫描的情况下使用量子电路实现几种类型的纠缠见证的方法。此外,还提出了对一些特殊矩阵进行分块编码的显式量子电路。
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