Quantum entanglement lies at the heart of quantum mechanics in both fundamental and practical aspects. The entanglement of quantum states has been studied widely, however, the entanglement of operators has not been studied much in spite of its importance. Here, we propose a scheme to realize arbitrary entangled operations based on a coherent superposition of local operations. Then, we experimentally implement several intriguing two-qubit entangled operations in photonic systems. We also discuss the generalization of our scheme to extend the number of superposed operations and the number of qubits. Due to the simplicity of our scheme, we believe that it can reduce the complexity or required resources of the quantum circuits and provide insights to investigate properties of entangled operations.

中文翻译：

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任意纠缠操作的实验实现

量子纠缠在基础和实践方面都是量子力学的核心。量子态的纠缠已被广泛研究，然而，尽管算符的纠缠很重要，但它的研究却很少。在这里，我们提出了一种基于局部操作的相干叠加来实现任意纠缠操作的方案。然后，我们通过实验在光子系统中实现了几个有趣的双量子位纠缠操作。我们还讨论了我们的方案的推广，以扩展叠加操作的数量和量子比特的数量。由于我们方案的简单性，我们相信它可以降低量子电路的复杂性或所需资源，并为研究纠缠操作的性质提供见解。