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Implementation of non-local arbitrary two-qubit controlled gates via geometric quantum computation with Rydberg anti-blockade

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arXiv:2603.17656v1 Announce Type: new Abstract: In the context of Rydberg anti-blockade, this paper proposes a new scheme for a high-fidelity controlled-unitary gate based on non-adiabatic holonomic quantum computation. Under specific detuning and interaction conditions, the scheme achieves a suitable evolution path for non-adiabatic holonomic quantum computation through reverse engineering of pulse parameters. Numerical simulations show that the geometric gate maintains high fidelity even in th

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Quantum Physics [Submitted on 18 Mar 2026] Implementation of non-local arbitrary two-qubit controlled gates via geometric quantum computation with Rydberg anti-blockade Le-Jiang Yu, Jia Zheng, Kun Pu, Chao Gao In the context of Rydberg anti-blockade, this paper proposes a new scheme for a high-fidelity controlled-unitary gate based on non-adiabatic holonomic quantum computation. Under specific detuning and interaction conditions, the scheme achieves a suitable evolution path for non-adiabatic holonomic quantum computation through reverse engineering of pulse parameters. Numerical simulations show that the geometric gate maintains high fidelity even in the presence of spontaneous radiation and laser intensity errors. Finally,we extend our designed quantum gates to non-local gates and investigate their use in converting four-qubit entangled states. This finding indicates the potential applicability of our scheme to complex quantum information processing tasks. Comments: 11 pages, 6 figures; Comments are welcome! Subjects: Quantum Physics (quant-ph); Quantum Gases (cond-mat.quant-gas) Cite as: arXiv:2603.17656 [quant-ph] (or arXiv:2603.17656v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2603.17656 Focus to learn more Submission history From: Lejiang Yu [view email] [v1] Wed, 18 Mar 2026 12:20:31 UTC (4,281 KB) Access Paper: HTML (experimental) view license Current browse context: quant-ph < prev | next > new | recent | 2026-03 Change to browse by: cond-mat cond-mat.quant-gas References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar Export BibTeX Citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Demos Related Papers About arXivLabs Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

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