Equation 35 · Part 1 · Error Correction Is the Whole Problem in Quantum Computing
superscript
superscript
What this part means
A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.
Its job in the formula
A raised mark can be a power or an index. Its position and the surrounding notation determine which.
Full expression→superscript→Article meaning
The passage around this formula
Gidney and Ekerå’s resource estimate makes the timing assumptions explicit rather than burying them: a planar grid with nearest-neighbour connectivity, a characteristic physical gate error rate of 10^{-3} , a surface code cycle time of 1 microsecond, and a reaction time of 10 microseconds [ 14 ] . That reaction time is the round trip from measurement to decoded decision to conditioned next gate. In their construction it is a first-class quantity in the runtime, not an implementation footnote.
Learn the underlying idea
An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.
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Sources cited in the surrounding passage
These citations provide research context; check each source for the exact claim it supports.