Rui-Qi Zhang, Yue-Di Qu, Shuqian Shen, Ming Li, Jing Wang
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引用次数: 0
摘要
量子纠缠作为一种资源，在量子计算和量子通信领域发挥着关键作用。受控 SWAP 测试已被用于检测纯态纠缠 [S. Foulds, V. Kendon, T. Spiller, Quantum Sci.Foulds, V. Kendon, T. Spiller, Quantum Sci.6, 035002 (2021); J. L. Beckey, N. Gigena, P. J. Coles, Phys.127, 140501 (2021)].在本文中，我们研究了受控 SWAP 测试的量子电路可用于检测多方混合态的纠缠。根据量子电路的测量概率，我们提出了检测多态纠缠和纯态真正纠缠的纠缠标准。此外，我们还根据受控 SWAP 测试的测量概率给出了纠缠度量的表示方法。我们用数字示例来说明纠缠标准的效率。
The controlled SWAP test for entanglement of mixed quantum states
Quantum entanglement as a resource plays a key role in the field of quantum computing and quantum communication. The controlled SWAP test has been used to detect pure state entanglement [S. Foulds, V. Kendon, T. Spiller, Quantum Sci. Technol. 6, 035002 (2021); J. L. Beckey, N. Gigena, P. J. Coles, Phys. Rev. Lett. 127, 140501 (2021)]. In this paper, we investigate that quantum circuits for the controlled SWAP test can be used to detect the entanglement of multipartite mixed state. Based on the measured probability of the quantum circuits, we propose entanglement criteria for detecting multipartite entanglement and genuine entanglement of pure states. In addition, we give representation of the entanglement measures based on the measured probability of the controlled SWAP tests. Numerical examples are used to illustrate the efficiency of the entanglement criteria.
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