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Equation 2 · Part 1 · Comparing the Main Approaches to Post-CMOS, Neuromorphic, Photonic, and Quantum AI Compute

superscript

ℓ2\ell^2
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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.

The passage around this formula

where the classical algorithm samples from an ℓ2\ell^2 -norm-weighted data structure rather than reading the whole m ×\times n matrix, closing a gap previously measured only against a classical algorithm that read every entry [ 13 ] . The general lesson, sometimes called dequantization, is that an apparent exponential quantum speedup often measures the gap between a quantum algorithm and an unnecessarily weak classical baseline, and the gap can close once someone finds a better classical algorithm.

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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

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