Efficient construction of fault-tolerant neutral-atom cluster states
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909708379488256 |
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| author | Stewart, Luke M. Baranes, Gefen Ramette, Joshua Sinclair, Josiah Vuletić, Vladan |
| author_facet | Stewart, Luke M. Baranes, Gefen Ramette, Joshua Sinclair, Josiah Vuletić, Vladan |
| contents | Cluster states are a useful resource in quantum computation, and can be generated by applying entangling gates between next-neighbor qubits. Heralded entangling gates offer the advantage of high post-selected fidelity, and can be used to create cluster states at the expense of large space-time overheads. We propose a low-overhead protocol to generate and merge high-fidelity many-atom entangled states into a 3D cluster state that supports fault-tolerant universal logical operations. Our simulations indicate that a state-of-the-art high-finesse optical cavity is sufficient for constructing a scalable fault-tolerant cluster state with loss and Pauli errors remaining an order of magnitude below their respective thresholds. This protocol reduces the space-time resource requirements for cluster state construction, highlighting the measurement-based method as an alternative approach to achieving large-scale error-corrected quantum processing with neutral atoms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_20009 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Efficient construction of fault-tolerant neutral-atom cluster states Stewart, Luke M. Baranes, Gefen Ramette, Joshua Sinclair, Josiah Vuletić, Vladan Quantum Physics Atomic Physics Cluster states are a useful resource in quantum computation, and can be generated by applying entangling gates between next-neighbor qubits. Heralded entangling gates offer the advantage of high post-selected fidelity, and can be used to create cluster states at the expense of large space-time overheads. We propose a low-overhead protocol to generate and merge high-fidelity many-atom entangled states into a 3D cluster state that supports fault-tolerant universal logical operations. Our simulations indicate that a state-of-the-art high-finesse optical cavity is sufficient for constructing a scalable fault-tolerant cluster state with loss and Pauli errors remaining an order of magnitude below their respective thresholds. This protocol reduces the space-time resource requirements for cluster state construction, highlighting the measurement-based method as an alternative approach to achieving large-scale error-corrected quantum processing with neutral atoms. |
| title | Efficient construction of fault-tolerant neutral-atom cluster states |
| topic | Quantum Physics Atomic Physics |
| url | https://arxiv.org/abs/2507.20009 |