Transforming graph states via Bell state measurements
Graph states are key resources for measurement-based quantum computing, which is particularly promising for photonic systems. Fusions are probabilistic Bell state measurements, measuring pairs of parity operators of two qubits. Fusions can be used to connect/entangle different graph states, making t...
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2025-07-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2025-07-14-1795/pdf/ |
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| _version_ | 1849319302058999808 |
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| author | Matthias C. Löbl Love A. Pettersson Stefano Paesani Anders S. Sørensen |
| author_facet | Matthias C. Löbl Love A. Pettersson Stefano Paesani Anders S. Sørensen |
| author_sort | Matthias C. Löbl |
| collection | DOAJ |
| description | Graph states are key resources for measurement-based quantum computing, which is particularly promising for photonic systems. Fusions are probabilistic Bell state measurements, measuring pairs of parity operators of two qubits. Fusions can be used to connect/entangle different graph states, making them a powerful resource for measurement-based and related fusion-based quantum computing. There are several different graph structures and types of Bell state measurements, yet the associated graph transformations have only been analyzed for specific cases. Here, we provide a full set of graph transformation rules and give an intuitive visualization based on Venn diagrams of local neighborhoods of graph nodes. We derive these graph transformations for all types of rotated type-II fusion, showing that there are five different fusion success cases. Finally, we give application examples of the derived graph transformation rules and show that they can be used to construct graph codes or simulate fusion networks. |
| format | Article |
| id | doaj-art-39cf7bfa72c2455085672d253f8593cb |
| institution | Kabale University |
| issn | 2521-327X |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj-art-39cf7bfa72c2455085672d253f8593cb2025-08-20T03:50:31ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2025-07-019179510.22331/q-2025-07-14-179510.22331/q-2025-07-14-1795Transforming graph states via Bell state measurementsMatthias C. LöblLove A. PetterssonStefano PaesaniAnders S. SørensenGraph states are key resources for measurement-based quantum computing, which is particularly promising for photonic systems. Fusions are probabilistic Bell state measurements, measuring pairs of parity operators of two qubits. Fusions can be used to connect/entangle different graph states, making them a powerful resource for measurement-based and related fusion-based quantum computing. There are several different graph structures and types of Bell state measurements, yet the associated graph transformations have only been analyzed for specific cases. Here, we provide a full set of graph transformation rules and give an intuitive visualization based on Venn diagrams of local neighborhoods of graph nodes. We derive these graph transformations for all types of rotated type-II fusion, showing that there are five different fusion success cases. Finally, we give application examples of the derived graph transformation rules and show that they can be used to construct graph codes or simulate fusion networks.https://quantum-journal.org/papers/q-2025-07-14-1795/pdf/ |
| spellingShingle | Matthias C. Löbl Love A. Pettersson Stefano Paesani Anders S. Sørensen Transforming graph states via Bell state measurements Quantum |
| title | Transforming graph states via Bell state measurements |
| title_full | Transforming graph states via Bell state measurements |
| title_fullStr | Transforming graph states via Bell state measurements |
| title_full_unstemmed | Transforming graph states via Bell state measurements |
| title_short | Transforming graph states via Bell state measurements |
| title_sort | transforming graph states via bell state measurements |
| url | https://quantum-journal.org/papers/q-2025-07-14-1795/pdf/ |
| work_keys_str_mv | AT matthiasclobl transforminggraphstatesviabellstatemeasurements AT loveapettersson transforminggraphstatesviabellstatemeasurements AT stefanopaesani transforminggraphstatesviabellstatemeasurements AT andersssørensen transforminggraphstatesviabellstatemeasurements |