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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2504.09334 |
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| _version_ | 1866909578550050816 |
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| author | Cambiucci, Waldemir Silveira, Regina Melo Ruggiero, Wilson Vicente |
| author_facet | Cambiucci, Waldemir Silveira, Regina Melo Ruggiero, Wilson Vicente |
| contents | Quantum computing promises to revolutionize problem-solving through quantum mechanics, but current NISQ devices face limitations in qubit count and error rates, hindering the execution of large-scale quantum circuits. To address these challenges and improve scalability, two main circuit cutting strategies have emerged: the gate-cut approach, which distributes circuit segments across multiple QPUs (spatial), and the qubit wire cut approach, which divides circuits for sequential execution (temporal). This paper presents a hypergraph-based circuit cutting methodology suitable for both spatial and temporal scenarios. By modeling quantum circuits as high-level hypergraphs, we apply partitioning heuristics such as Stoer-Wagner, Fiduccia-Mattheyses, and Kernighan-Lin to optimize the partitioning process. Our approach aims to reduce communication overhead in spatial cuts and minimize qubit initialization costs in temporal ones. To assess effectiveness, we propose a new evaluation metric called the coupling ratio, which quantifies the trade-offs between communication and initialization. Comparative analyses show that hypergraph partitioning improves the efficiency of distributed quantum architectures. Notably, the Fiduccia-Mattheyses heuristic offers superior performance and adaptability for real-time circuit cutting on multi-QPU systems. Overall, this work positions hypergraph partitioning as a foundational technique for scalable quantum computing in distributed environments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_09334 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spatial and temporal circuit cutting with hypergraphic partitioning Cambiucci, Waldemir Silveira, Regina Melo Ruggiero, Wilson Vicente Quantum Physics Quantum computing promises to revolutionize problem-solving through quantum mechanics, but current NISQ devices face limitations in qubit count and error rates, hindering the execution of large-scale quantum circuits. To address these challenges and improve scalability, two main circuit cutting strategies have emerged: the gate-cut approach, which distributes circuit segments across multiple QPUs (spatial), and the qubit wire cut approach, which divides circuits for sequential execution (temporal). This paper presents a hypergraph-based circuit cutting methodology suitable for both spatial and temporal scenarios. By modeling quantum circuits as high-level hypergraphs, we apply partitioning heuristics such as Stoer-Wagner, Fiduccia-Mattheyses, and Kernighan-Lin to optimize the partitioning process. Our approach aims to reduce communication overhead in spatial cuts and minimize qubit initialization costs in temporal ones. To assess effectiveness, we propose a new evaluation metric called the coupling ratio, which quantifies the trade-offs between communication and initialization. Comparative analyses show that hypergraph partitioning improves the efficiency of distributed quantum architectures. Notably, the Fiduccia-Mattheyses heuristic offers superior performance and adaptability for real-time circuit cutting on multi-QPU systems. Overall, this work positions hypergraph partitioning as a foundational technique for scalable quantum computing in distributed environments. |
| title | Spatial and temporal circuit cutting with hypergraphic partitioning |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2504.09334 |