Equation 14 · Part 5 · Error Correction Is the Whole Problem in Quantum Computing
subscript
subscript
What this part means
The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.
Its job in the formula
A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.
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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
A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.
Open the illustrated subscripts: which member of a family? guide →
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