Efficient construction of fault-tolerant neutral-atom cluster states

• URL: http://arxiv.org/abs/2507.20009v1
• Date: Sat, 26 Jul 2025 16:55:52 GMT
• Title: Efficient construction of fault-tolerant neutral-atom cluster states
• Authors: Luke M. Stewart, Gefen Baranes, Joshua Ramette, Josiah Sinclair, Vladan Vuletić,
• Abstract summary: We propose a protocol to generate and merge high-fidelity many-atom entangled states into a 3D cluster state.<n>Our simulations indicate that a state-of-the-art high-finesse optical cavity is sufficient for constructing a scalable fault-tolerant cluster state.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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