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Equation 32 · Part 1 · Error Correction Is the Whole Problem in Quantum Computing

Symbol n

nn
nn

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n is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

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n is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.

The passage around this formula

…now concrete. Bravyi and colleagues at IBM presented a family of quantum low-density parity-check codes achieving an error threshold of 0.8\% for the standard circuit-based noise model, with a syndrome cycle requiring n ancillary qubits and a depth-7 circuit of nearest-neighbour CNOT gates on a degree-6 connectivity graph made of two edge-disjoint planar subgraphs [ 19 ] . Their worked example preserves 12 logical qubits for nearly one million syndrome cycles using 288 physical qubits at a physical error rate of…

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