Equation 14 · Part 3 · Error Correction Is the Whole Problem in Quantum Computing
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What this part means
The expressions on both sides represent the same quantity under the stated assumptions.
Its job in the formula
The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.
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The passage around this formula
Distance d is the weight of the smallest undetectable logical error. A distance- d code corrects up to (d-1)/2 errors. For the planar surface code in its standard rotated layout, the physical cost of one logical qubit is . counting data and measure qubits together. A distance-7 patch therefore occupies ninety-seven physical qubits, and that is a memory holding one logical qubit, doing nothing else. It performs no gate, produces no non-Clifford operation, and reserves no routing space.
Learn the underlying idea
An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.
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