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Equation 6 · Part 3 · Error Correction Is the Whole Problem in Quantum Computing

Symbol d

[[n,k,d]][[n, k, d]]
dd

What this part means

the distance.

Its job in the formula

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

Where the article explains it

An [[n, k, d]] code encodes k logical qubits into n physical qubits with distance d .

The passage around this formula

An [[n, k, d]] code encodes k logical qubits into n physical qubits with distance d . The stabiliser generators are measured repeatedly. Because each SiS_i commutes with every other and with the logical operators, measuring them extracts no information about which encoded state is present. What it extracts is whether an error has anticommuted with a given check — a single classical bit per generator, per round. That bit string is the syndrome.

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the article section

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