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Most efficient local phase-flip codes for cat qubits

Local phase-flip codes let a cat-qubit memory store more logical qubits per data qubit than repetition codes, with the short-range wiring of current superconducting chips.

Instance files

Each JSON file defines one instance of this problem. Instances differ by grid, data-qubit limit and required distance. The verifier reads the same files, and the verifier bundle contains all of them together with an accepted example.

FileInstanceParametersSize
n016-grid4x4.json4 × 4 grid, n ≤ 16debug instance, frontier ≤ 80.2 KB
n064-grid8x8.json8 × 8 grid, n ≤ 64, d ≥ 8frontier ≤ 200.2 KB
n192-grid12x16.json12 × 16 grid, n ≤ 192, d ≥ 16frontier ≤ 200.2 KB
n256-grid16x24.json16 × 24 grid, n ≤ 256, d ≥ 22frontier ≤ 200.2 KB