QEC in Neutral Atom Quantum Computers

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" summary

Neutral-atom systems implement rectangular subarray moves and a log-depth sorting network to realize hypergraph-product and quasi-cyclic LDPC codes, using row/column parallel swaps to make arbitrary 1D connectivity in O(log n) layers (examples show ~20 layers for ~50-length blocks). Circuit simulations claim ~99.5% two‑qubit fidelity, note ~0.1% atom transfer loss today, and report order‑of‑magnitude memory savings vs surface code near ~1,000 qubits; single‑ancilla syndrome extraction is fault tolerant and correlated decoding maps to a hypergraph problem with competitive thresholds.

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" chapters (10)

1. 0:00Introduction to neutral atoms
2. 3:46High-level native operations
3. 8:03Quantum LDPC code proposals
4. 14:12Implementing LDPC codes
5. 19:19Circuit-level simulations
6. 24:53Alternative code families
7. 28:54Challenges and open questions
8. 32:12Logical operations and decoding
9. 41:13System modeling and future
10. 46:42Conclusion and Q&A