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Equation 12 · Error Correction Is the Whole Problem in Quantum Computing

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dd

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dd

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Distance d is the weight of the smallest undetectable logical error. A distance- d code corrects up to ⌊\lfloor (d-1)/2 ⌋\rfloor errors. For the planar surface code in its standard rotated layout, the physical cost of one logical qubit is

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