Practical implementation of arbitrary nonlocal controlled-unitary gate via indefinite causal order
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866912954807484416 |
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| author | Liu, Wen-Qiang Zheng, Zi-Han Yin, Zhang-Qi Wei, Hai-Rui |
| author_facet | Liu, Wen-Qiang Zheng, Zi-Han Yin, Zhang-Qi Wei, Hai-Rui |
| contents | Quantum gate teleportation enables the implementation of nonlocal quantum operations without direct interactions between distant nodes. We propose an efficient protocol for implementing arbitrary controlled-unitary (CU) gates acting on two spatially separated parties via indefinite causal order (ICO). By establishing a maximally entanglement between two remote nodes and coherently superposing orders of single-qubit gates, our protocol circumvents the drawback of complex local two-qubit operations. This ICO-based approach enables full programmability of CU gates by adjusting the inherent single-qubit operations, offering advantages over conventional fixed causal-order methods in terms of reduced circuit complexity and improved experimental flexibility. Furthermore, we develop an optical construction to implement the polarization CU gate using a stable and reciprocal Sagnac interferometer. Our work establishes a practical framework for scalable distributed quantum computation with flexible operations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_08073 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Practical implementation of arbitrary nonlocal controlled-unitary gate via indefinite causal order Liu, Wen-Qiang Zheng, Zi-Han Yin, Zhang-Qi Wei, Hai-Rui Quantum Physics Quantum gate teleportation enables the implementation of nonlocal quantum operations without direct interactions between distant nodes. We propose an efficient protocol for implementing arbitrary controlled-unitary (CU) gates acting on two spatially separated parties via indefinite causal order (ICO). By establishing a maximally entanglement between two remote nodes and coherently superposing orders of single-qubit gates, our protocol circumvents the drawback of complex local two-qubit operations. This ICO-based approach enables full programmability of CU gates by adjusting the inherent single-qubit operations, offering advantages over conventional fixed causal-order methods in terms of reduced circuit complexity and improved experimental flexibility. Furthermore, we develop an optical construction to implement the polarization CU gate using a stable and reciprocal Sagnac interferometer. Our work establishes a practical framework for scalable distributed quantum computation with flexible operations. |
| title | Practical implementation of arbitrary nonlocal controlled-unitary gate via indefinite causal order |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2603.08073 |